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Finding the Fourth Proportional to 187,250, 258,404.96 and 102,367.04

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Solution

The fourth proportional to 187,250, 258,404.96 and 102,367.04 is: 141,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,250 : 258,404.96 = 102,367.04 : x
  2. Step 2: Convert to fraction form
    187,250/258,404.96 = 102,367.04/x
  3. Step 3: Cross multiply
    187,250x = 258,404.96 × 102,367.04
  4. Step 4: Simplify right side
    187,250x = 26,452,150,876.52
  5. Step 5: Solve for x
    x = 26,452,150,876.52/187,250
  6. Step 6: Final answer
    x = 141,266.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.