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Finding the Fourth Proportional to 136,125.38, 187,803.06 and 82,390.70

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Solution

The fourth proportional to 136,125.38, 187,803.06 and 82,390.70 is: 113,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,125.38 : 187,803.06 = 82,390.70 : x
  2. Step 2: Convert to fraction form
    136,125.38/187,803.06 = 82,390.70/x
  3. Step 3: Cross multiply
    136,125.38x = 187,803.06 × 82,390.70
  4. Step 4: Simplify right side
    136,125.38x = 15,473,225,575.54
  5. Step 5: Solve for x
    x = 15,473,225,575.54/136,125.38
  6. Step 6: Final answer
    x = 113,668.92

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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.