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Finding the Fourth Proportional to 171,907,209.80, 257,293,944.30 and 120,888,873.80

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Solution

The fourth proportional to 171,907,209.80, 257,293,944.30 and 120,888,873.80 is: 180,934,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,907,209.80 : 257,293,944.30 = 120,888,873.80 : x
  2. Step 2: Convert to fraction form
    171,907,209.80/257,293,944.30 = 120,888,873.80/x
  3. Step 3: Cross multiply
    171,907,209.80x = 257,293,944.30 × 120,888,873.80
  4. Step 4: Simplify right side
    171,907,209.80x = 31,103,975,161,986,932
  5. Step 5: Solve for x
    x = 31,103,975,161,986,932/171,907,209.80
  6. Step 6: Final answer
    x = 180,934,675.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.