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Finding the Fourth Proportional to 275,882.42, 413,815.36 and 76,214.76

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Solution

The fourth proportional to 275,882.42, 413,815.36 and 76,214.76 is: 114,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,882.42 : 413,815.36 = 76,214.76 : x
  2. Step 2: Convert to fraction form
    275,882.42/413,815.36 = 76,214.76/x
  3. Step 3: Cross multiply
    275,882.42x = 413,815.36 × 76,214.76
  4. Step 4: Simplify right side
    275,882.42x = 31,538,838,346.71
  5. Step 5: Solve for x
    x = 31,538,838,346.71/275,882.42
  6. Step 6: Final answer
    x = 114,319.86

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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.