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Finding the Fourth Proportional to 229,437.62, 344,156.44 and 71,678.52

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Solution

The fourth proportional to 229,437.62, 344,156.44 and 71,678.52 is: 107,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,437.62 : 344,156.44 = 71,678.52 : x
  2. Step 2: Convert to fraction form
    229,437.62/344,156.44 = 71,678.52/x
  3. Step 3: Cross multiply
    229,437.62x = 344,156.44 × 71,678.52
  4. Step 4: Simplify right side
    229,437.62x = 24,668,624,267.67
  5. Step 5: Solve for x
    x = 24,668,624,267.67/229,437.62
  6. Step 6: Final answer
    x = 107,517.78

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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.