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Finding the Fourth Proportional to 187,976.76, 282,105.27 and 75,658.02

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Solution

The fourth proportional to 187,976.76, 282,105.27 and 75,658.02 is: 113,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,976.76 : 282,105.27 = 75,658.02 : x
  2. Step 2: Convert to fraction form
    187,976.76/282,105.27 = 75,658.02/x
  3. Step 3: Cross multiply
    187,976.76x = 282,105.27 × 75,658.02
  4. Step 4: Simplify right side
    187,976.76x = 21,343,526,159.77
  5. Step 5: Solve for x
    x = 21,343,526,159.77/187,976.76
  6. Step 6: Final answer
    x = 113,543.43

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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.