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Finding the Fourth Proportional to 187,654.82, 258,982.13 and 107,094.47

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Solution

The fourth proportional to 187,654.82, 258,982.13 and 107,094.47 is: 147,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,654.82 : 258,982.13 = 107,094.47 : x
  2. Step 2: Convert to fraction form
    187,654.82/258,982.13 = 107,094.47/x
  3. Step 3: Cross multiply
    187,654.82x = 258,982.13 × 107,094.47
  4. Step 4: Simplify right side
    187,654.82x = 27,735,552,924.65
  5. Step 5: Solve for x
    x = 27,735,552,924.65/187,654.82
  6. Step 6: Final answer
    x = 147,800.91

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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.