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Finding the Fourth Proportional to 417,182.42, 625,742.18 and 132,861.49

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Solution

The fourth proportional to 417,182.42, 625,742.18 and 132,861.49 is: 199,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,182.42 : 625,742.18 = 132,861.49 : x
  2. Step 2: Convert to fraction form
    417,182.42/625,742.18 = 132,861.49/x
  3. Step 3: Cross multiply
    417,182.42x = 625,742.18 × 132,861.49
  4. Step 4: Simplify right side
    417,182.42x = 83,137,036,161.99
  5. Step 5: Solve for x
    x = 83,137,036,161.99/417,182.42
  6. Step 6: Final answer
    x = 199,282.21

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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.