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Finding the Fourth Proportional to 136,127.38, 187,805.82 and 82,392.70

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Solution

The fourth proportional to 136,127.38, 187,805.82 and 82,392.70 is: 113,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,127.38 : 187,805.82 = 82,392.70 : x
  2. Step 2: Convert to fraction form
    136,127.38/187,805.82 = 82,392.70/x
  3. Step 3: Cross multiply
    136,127.38x = 187,805.82 × 82,392.70
  4. Step 4: Simplify right side
    136,127.38x = 15,473,828,585.51
  5. Step 5: Solve for x
    x = 15,473,828,585.51/136,127.38
  6. Step 6: Final answer
    x = 113,671.68

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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.