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Finding the Fourth Proportional to 416,854.02, 625,215.69 and 132,507.30

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Solution

The fourth proportional to 416,854.02, 625,215.69 and 132,507.30 is: 198,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,854.02 : 625,215.69 = 132,507.30 : x
  2. Step 2: Convert to fraction form
    416,854.02/625,215.69 = 132,507.30/x
  3. Step 3: Cross multiply
    416,854.02x = 625,215.69 × 132,507.30
  4. Step 4: Simplify right side
    416,854.02x = 82,845,642,999.54
  5. Step 5: Solve for x
    x = 82,845,642,999.54/416,854.02
  6. Step 6: Final answer
    x = 198,740.18

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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.