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Finding the Fourth Proportional to 137,838.70, 206,758.05 and 54,732.70

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Solution

The fourth proportional to 137,838.70, 206,758.05 and 54,732.70 is: 82,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,838.70 : 206,758.05 = 54,732.70 : x
  2. Step 2: Convert to fraction form
    137,838.70/206,758.05 = 54,732.70/x
  3. Step 3: Cross multiply
    137,838.70x = 206,758.05 × 54,732.70
  4. Step 4: Simplify right side
    137,838.70x = 11,316,426,323.24
  5. Step 5: Solve for x
    x = 11,316,426,323.24/137,838.70
  6. Step 6: Final answer
    x = 82,099.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.