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Finding the Fourth Proportional to 137,170.38, 189,287.46 and 76,729.35

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Solution

The fourth proportional to 137,170.38, 189,287.46 and 76,729.35 is: 105,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,170.38 : 189,287.46 = 76,729.35 : x
  2. Step 2: Convert to fraction form
    137,170.38/189,287.46 = 76,729.35/x
  3. Step 3: Cross multiply
    137,170.38x = 189,287.46 × 76,729.35
  4. Step 4: Simplify right side
    137,170.38x = 14,523,903,768.95
  5. Step 5: Solve for x
    x = 14,523,903,768.95/137,170.38
  6. Step 6: Final answer
    x = 105,882.22

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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.