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Finding the Fourth Proportional to 150,593.94, 225,898.50 and 38,275.26

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Solution

The fourth proportional to 150,593.94, 225,898.50 and 38,275.26 is: 57,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,593.94 : 225,898.50 = 38,275.26 : x
  2. Step 2: Convert to fraction form
    150,593.94/225,898.50 = 38,275.26/x
  3. Step 3: Cross multiply
    150,593.94x = 225,898.50 × 38,275.26
  4. Step 4: Simplify right side
    150,593.94x = 8,646,323,821.11
  5. Step 5: Solve for x
    x = 8,646,323,821.11/150,593.94
  6. Step 6: Final answer
    x = 57,414.82

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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.