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Finding the Fourth Proportional to 416,741.88, 625,104.18 and 101,200.44

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Solution

The fourth proportional to 416,741.88, 625,104.18 and 101,200.44 is: 151,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,741.88 : 625,104.18 = 101,200.44 : x
  2. Step 2: Convert to fraction form
    416,741.88/625,104.18 = 101,200.44/x
  3. Step 3: Cross multiply
    416,741.88x = 625,104.18 × 101,200.44
  4. Step 4: Simplify right side
    416,741.88x = 63,260,818,061.84
  5. Step 5: Solve for x
    x = 63,260,818,061.84/416,741.88
  6. Step 6: Final answer
    x = 151,798.56

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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.