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Finding the Fourth Proportional to 416,754.64, 625,131.96 and 101,209.42

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Solution

The fourth proportional to 416,754.64, 625,131.96 and 101,209.42 is: 151,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,754.64 : 625,131.96 = 101,209.42 : x
  2. Step 2: Convert to fraction form
    416,754.64/625,131.96 = 101,209.42/x
  3. Step 3: Cross multiply
    416,754.64x = 625,131.96 × 101,209.42
  4. Step 4: Simplify right side
    416,754.64x = 63,269,243,095.06
  5. Step 5: Solve for x
    x = 63,269,243,095.06/416,754.64
  6. Step 6: Final answer
    x = 151,814.13

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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.