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Finding the Fourth Proportional to 187,207.38, 258,310.35 and 106,633.14

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Solution

The fourth proportional to 187,207.38, 258,310.35 and 106,633.14 is: 147,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,207.38 : 258,310.35 = 106,633.14 : x
  2. Step 2: Convert to fraction form
    187,207.38/258,310.35 = 106,633.14/x
  3. Step 3: Cross multiply
    187,207.38x = 258,310.35 × 106,633.14
  4. Step 4: Simplify right side
    187,207.38x = 27,544,443,715.00
  5. Step 5: Solve for x
    x = 27,544,443,715.00/187,207.38
  6. Step 6: Final answer
    x = 147,133.32

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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.