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Finding the Fourth Proportional to 438,265.72, 657,497.10 and 138,764.20

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Solution

The fourth proportional to 438,265.72, 657,497.10 and 138,764.20 is: 208,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,265.72 : 657,497.10 = 138,764.20 : x
  2. Step 2: Convert to fraction form
    438,265.72/657,497.10 = 138,764.20/x
  3. Step 3: Cross multiply
    438,265.72x = 657,497.10 × 138,764.20
  4. Step 4: Simplify right side
    438,265.72x = 91,237,059,083.82
  5. Step 5: Solve for x
    x = 91,237,059,083.82/438,265.72
  6. Step 6: Final answer
    x = 208,177.49

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