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Finding the Fourth Proportional to 137,386.38, 189,494.84 and 126,092.28

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Solution

The fourth proportional to 137,386.38, 189,494.84 and 126,092.28 is: 173,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,386.38 : 189,494.84 = 126,092.28 : x
  2. Step 2: Convert to fraction form
    137,386.38/189,494.84 = 126,092.28/x
  3. Step 3: Cross multiply
    137,386.38x = 189,494.84 × 126,092.28
  4. Step 4: Simplify right side
    137,386.38x = 23,893,836,423.84
  5. Step 5: Solve for x
    x = 23,893,836,423.84/137,386.38
  6. Step 6: Final answer
    x = 173,917.07

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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.