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Finding the Fourth Proportional to 416,066.92, 624,104.48 and 131,752.15

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Solution

The fourth proportional to 416,066.92, 624,104.48 and 131,752.15 is: 197,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,066.92 : 624,104.48 = 131,752.15 : x
  2. Step 2: Convert to fraction form
    416,066.92/624,104.48 = 131,752.15/x
  3. Step 3: Cross multiply
    416,066.92x = 624,104.48 × 131,752.15
  4. Step 4: Simplify right side
    416,066.92x = 82,227,105,833.75
  5. Step 5: Solve for x
    x = 82,227,105,833.75/416,066.92
  6. Step 6: Final answer
    x = 197,629.52

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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.