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Finding the Fourth Proportional to 187,654.98, 258,899.56 and 107,024.52

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Solution

The fourth proportional to 187,654.98, 258,899.56 and 107,024.52 is: 147,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,654.98 : 258,899.56 = 107,024.52 : x
  2. Step 2: Convert to fraction form
    187,654.98/258,899.56 = 107,024.52/x
  3. Step 3: Cross multiply
    187,654.98x = 258,899.56 × 107,024.52
  4. Step 4: Simplify right side
    187,654.98x = 27,708,601,137.21
  5. Step 5: Solve for x
    x = 27,708,601,137.21/187,654.98
  6. Step 6: Final answer
    x = 147,657.16

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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.