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Finding the Fourth Proportional to 438,098.83, 657,194.38 and 181,902.31

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Solution

The fourth proportional to 438,098.83, 657,194.38 and 181,902.31 is: 272,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,098.83 : 657,194.38 = 181,902.31 : x
  2. Step 2: Convert to fraction form
    438,098.83/657,194.38 = 181,902.31/x
  3. Step 3: Cross multiply
    438,098.83x = 657,194.38 × 181,902.31
  4. Step 4: Simplify right side
    438,098.83x = 119,545,173,743.28
  5. Step 5: Solve for x
    x = 119,545,173,743.28/438,098.83
  6. Step 6: Final answer
    x = 272,872.62

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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.