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Finding the Fourth Proportional to 150,475.92, 207,645.32 and 82,482

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Solution

The fourth proportional to 150,475.92, 207,645.32 and 82,482 is: 113,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,475.92 : 207,645.32 = 82,482 : x
  2. Step 2: Convert to fraction form
    150,475.92/207,645.32 = 82,482/x
  3. Step 3: Cross multiply
    150,475.92x = 207,645.32 × 82,482
  4. Step 4: Simplify right side
    150,475.92x = 17,127,001,284.24
  5. Step 5: Solve for x
    x = 17,127,001,284.24/150,475.92
  6. Step 6: Final answer
    x = 113,818.88

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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.