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Finding the Fourth Proportional to 187,560, 258,830.64 and 101,517.03

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Solution

The fourth proportional to 187,560, 258,830.64 and 101,517.03 is: 140,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,560 : 258,830.64 = 101,517.03 : x
  2. Step 2: Convert to fraction form
    187,560/258,830.64 = 101,517.03/x
  3. Step 3: Cross multiply
    187,560x = 258,830.64 × 101,517.03
  4. Step 4: Simplify right side
    187,560x = 26,275,717,845.80
  5. Step 5: Solve for x
    x = 26,275,717,845.80/187,560
  6. Step 6: Final answer
    x = 140,092.33

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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.