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Finding the Fourth Proportional to 150,323.68, 207,438.65 and 82,337.14

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Solution

The fourth proportional to 150,323.68, 207,438.65 and 82,337.14 is: 113,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,323.68 : 207,438.65 = 82,337.14 : x
  2. Step 2: Convert to fraction form
    150,323.68/207,438.65 = 82,337.14/x
  3. Step 3: Cross multiply
    150,323.68x = 207,438.65 × 82,337.14
  4. Step 4: Simplify right side
    150,323.68x = 17,079,904,129.27
  5. Step 5: Solve for x
    x = 17,079,904,129.27/150,323.68
  6. Step 6: Final answer
    x = 113,620.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.