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Finding the Fourth Proportional to 417,166.50, 625,769.19 and 121,678.50

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Solution

The fourth proportional to 417,166.50, 625,769.19 and 121,678.50 is: 182,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,166.50 : 625,769.19 = 121,678.50 : x
  2. Step 2: Convert to fraction form
    417,166.50/625,769.19 = 121,678.50/x
  3. Step 3: Cross multiply
    417,166.50x = 625,769.19 × 121,678.50
  4. Step 4: Simplify right side
    417,166.50x = 76,142,656,385.42
  5. Step 5: Solve for x
    x = 76,142,656,385.42/417,166.50
  6. Step 6: Final answer
    x = 182,523.42

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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.