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Finding the Fourth Proportional to 187,301.52, 280,952.56 and 76,493.52

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Solution

The fourth proportional to 187,301.52, 280,952.56 and 76,493.52 is: 114,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,301.52 : 280,952.56 = 76,493.52 : x
  2. Step 2: Convert to fraction form
    187,301.52/280,952.56 = 76,493.52/x
  3. Step 3: Cross multiply
    187,301.52x = 280,952.56 × 76,493.52
  4. Step 4: Simplify right side
    187,301.52x = 21,491,050,267.41
  5. Step 5: Solve for x
    x = 21,491,050,267.41/187,301.52
  6. Step 6: Final answer
    x = 114,740.39

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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.