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Finding the Fourth Proportional to 138,762.44, 208,105.85 and 38,916.44

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Solution

The fourth proportional to 138,762.44, 208,105.85 and 38,916.44 is: 58,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,762.44 : 208,105.85 = 38,916.44 : x
  2. Step 2: Convert to fraction form
    138,762.44/208,105.85 = 38,916.44/x
  3. Step 3: Cross multiply
    138,762.44x = 208,105.85 × 38,916.44
  4. Step 4: Simplify right side
    138,762.44x = 8,098,738,825.17
  5. Step 5: Solve for x
    x = 8,098,738,825.17/138,762.44
  6. Step 6: Final answer
    x = 58,364.06

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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.