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Finding the Fourth Proportional to 187,600.52, 258,886.76 and 101,558

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Solution

The fourth proportional to 187,600.52, 258,886.76 and 101,558 is: 140,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,600.52 : 258,886.76 = 101,558 : x
  2. Step 2: Convert to fraction form
    187,600.52/258,886.76 = 101,558/x
  3. Step 3: Cross multiply
    187,600.52x = 258,886.76 × 101,558
  4. Step 4: Simplify right side
    187,600.52x = 26,292,021,572.08
  5. Step 5: Solve for x
    x = 26,292,021,572.08/187,600.52
  6. Step 6: Final answer
    x = 140,148.98

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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.