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Finding the Fourth Proportional to 171,863.60, 257,066.40 and 154,221.80

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Solution

The fourth proportional to 171,863.60, 257,066.40 and 154,221.80 is: 230,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,863.60 : 257,066.40 = 154,221.80 : x
  2. Step 2: Convert to fraction form
    171,863.60/257,066.40 = 154,221.80/x
  3. Step 3: Cross multiply
    171,863.60x = 257,066.40 × 154,221.80
  4. Step 4: Simplify right side
    171,863.60x = 39,645,242,927.52
  5. Step 5: Solve for x
    x = 39,645,242,927.52/171,863.60
  6. Step 6: Final answer
    x = 230,678.53

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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.