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Finding the Fourth Proportional to 272,788.28, 409,398.42 and 115,125.56

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Solution

The fourth proportional to 272,788.28, 409,398.42 and 115,125.56 is: 172,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,788.28 : 409,398.42 = 115,125.56 : x
  2. Step 2: Convert to fraction form
    272,788.28/409,398.42 = 115,125.56/x
  3. Step 3: Cross multiply
    272,788.28x = 409,398.42 × 115,125.56
  4. Step 4: Simplify right side
    272,788.28x = 47,132,222,365.62
  5. Step 5: Solve for x
    x = 47,132,222,365.62/272,788.28
  6. Step 6: Final answer
    x = 172,779.50

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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.