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Finding the Fourth Proportional to 171,406.80, 257,110.20 and 121,543.20

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Solution

The fourth proportional to 171,406.80, 257,110.20 and 121,543.20 is: 182,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,406.80 : 257,110.20 = 121,543.20 : x
  2. Step 2: Convert to fraction form
    171,406.80/257,110.20 = 121,543.20/x
  3. Step 3: Cross multiply
    171,406.80x = 257,110.20 × 121,543.20
  4. Step 4: Simplify right side
    171,406.80x = 31,249,996,460.64
  5. Step 5: Solve for x
    x = 31,249,996,460.64/171,406.80
  6. Step 6: Final answer
    x = 182,314.80

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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.