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Finding the Fourth Proportional to 187,677.92, 258,941.22 and 106,001.82

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Solution

The fourth proportional to 187,677.92, 258,941.22 and 106,001.82 is: 146,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,677.92 : 258,941.22 = 106,001.82 : x
  2. Step 2: Convert to fraction form
    187,677.92/258,941.22 = 106,001.82/x
  3. Step 3: Cross multiply
    187,677.92x = 258,941.22 × 106,001.82
  4. Step 4: Simplify right side
    187,677.92x = 27,448,240,593.02
  5. Step 5: Solve for x
    x = 27,448,240,593.02/187,677.92
  6. Step 6: Final answer
    x = 146,251.84

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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.