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Finding the Fourth Proportional to 416,731.14, 625,096.71 and 101,185.92

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Solution

The fourth proportional to 416,731.14, 625,096.71 and 101,185.92 is: 151,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,731.14 : 625,096.71 = 101,185.92 : x
  2. Step 2: Convert to fraction form
    416,731.14/625,096.71 = 101,185.92/x
  3. Step 3: Cross multiply
    416,731.14x = 625,096.71 × 101,185.92
  4. Step 4: Simplify right side
    416,731.14x = 63,250,985,690.32
  5. Step 5: Solve for x
    x = 63,250,985,690.32/416,731.14
  6. Step 6: Final answer
    x = 151,778.88

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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.