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Finding the Fourth Proportional to 292,132.24, 403,142.76 and 157,996.24

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Solution

The fourth proportional to 292,132.24, 403,142.76 and 157,996.24 is: 218,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,132.24 : 403,142.76 = 157,996.24 : x
  2. Step 2: Convert to fraction form
    292,132.24/403,142.76 = 157,996.24/x
  3. Step 3: Cross multiply
    292,132.24x = 403,142.76 × 157,996.24
  4. Step 4: Simplify right side
    292,132.24x = 63,695,040,263.22
  5. Step 5: Solve for x
    x = 63,695,040,263.22/292,132.24
  6. Step 6: Final answer
    x = 218,034.96

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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.