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Finding the Fourth Proportional to 150,386, 225,542.04 and 66,167.30

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Solution

The fourth proportional to 150,386, 225,542.04 and 66,167.30 is: 99,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,386 : 225,542.04 = 66,167.30 : x
  2. Step 2: Convert to fraction form
    150,386/225,542.04 = 66,167.30/x
  3. Step 3: Cross multiply
    150,386x = 225,542.04 × 66,167.30
  4. Step 4: Simplify right side
    150,386x = 14,923,507,823.29
  5. Step 5: Solve for x
    x = 14,923,507,823.29/150,386
  6. Step 6: Final answer
    x = 99,234.69

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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.