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Finding the Fourth Proportional to 292,124.24, 403,131.72 and 157,988.24

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Solution

The fourth proportional to 292,124.24, 403,131.72 and 157,988.24 is: 218,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,124.24 : 403,131.72 = 157,988.24 : x
  2. Step 2: Convert to fraction form
    292,124.24/403,131.72 = 157,988.24/x
  3. Step 3: Cross multiply
    292,124.24x = 403,131.72 × 157,988.24
  4. Step 4: Simplify right side
    292,124.24x = 63,690,070,930.97
  5. Step 5: Solve for x
    x = 63,690,070,930.97/292,124.24
  6. Step 6: Final answer
    x = 218,023.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.