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Finding the Fourth Proportional to 187,308.52, 280,963.02 and 76,500.52

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Solution

The fourth proportional to 187,308.52, 280,963.02 and 76,500.52 is: 114,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,308.52 : 280,963.02 = 76,500.52 : x
  2. Step 2: Convert to fraction form
    187,308.52/280,963.02 = 76,500.52/x
  3. Step 3: Cross multiply
    187,308.52x = 280,963.02 × 76,500.52
  4. Step 4: Simplify right side
    187,308.52x = 21,493,817,130.77
  5. Step 5: Solve for x
    x = 21,493,817,130.77/187,308.52
  6. Step 6: Final answer
    x = 114,750.88

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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.