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Finding the Fourth Proportional to 150,472.08, 225,805.98 and 65,166.24

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Solution

The fourth proportional to 150,472.08, 225,805.98 and 65,166.24 is: 97,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,472.08 : 225,805.98 = 65,166.24 : x
  2. Step 2: Convert to fraction form
    150,472.08/225,805.98 = 65,166.24/x
  3. Step 3: Cross multiply
    150,472.08x = 225,805.98 × 65,166.24
  4. Step 4: Simplify right side
    150,472.08x = 14,714,926,686.12
  5. Step 5: Solve for x
    x = 14,714,926,686.12/150,472.08
  6. Step 6: Final answer
    x = 97,791.74

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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.