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Finding the Fourth Proportional to 187,311.52, 280,967.52 and 76,503.52

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Solution

The fourth proportional to 187,311.52, 280,967.52 and 76,503.52 is: 114,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,311.52 : 280,967.52 = 76,503.52 : x
  2. Step 2: Convert to fraction form
    187,311.52/280,967.52 = 76,503.52/x
  3. Step 3: Cross multiply
    187,311.52x = 280,967.52 × 76,503.52
  4. Step 4: Simplify right side
    187,311.52x = 21,495,004,285.67
  5. Step 5: Solve for x
    x = 21,495,004,285.67/187,311.52
  6. Step 6: Final answer
    x = 114,755.38

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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.