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Finding the Fourth Proportional to 187,086.08, 258,092.16 and 107,552

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Solution

The fourth proportional to 187,086.08, 258,092.16 and 107,552 is: 148,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,086.08 : 258,092.16 = 107,552 : x
  2. Step 2: Convert to fraction form
    187,086.08/258,092.16 = 107,552/x
  3. Step 3: Cross multiply
    187,086.08x = 258,092.16 × 107,552
  4. Step 4: Simplify right side
    187,086.08x = 27,758,327,992.32
  5. Step 5: Solve for x
    x = 27,758,327,992.32/187,086.08
  6. Step 6: Final answer
    x = 148,371.96

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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.