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Finding the Fourth Proportional to 138,908.76, 208,372.28 and 54,662.28

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Solution

The fourth proportional to 138,908.76, 208,372.28 and 54,662.28 is: 81,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,908.76 : 208,372.28 = 54,662.28 : x
  2. Step 2: Convert to fraction form
    138,908.76/208,372.28 = 54,662.28/x
  3. Step 3: Cross multiply
    138,908.76x = 208,372.28 × 54,662.28
  4. Step 4: Simplify right side
    138,908.76x = 11,390,103,913.60
  5. Step 5: Solve for x
    x = 11,390,103,913.60/138,908.76
  6. Step 6: Final answer
    x = 81,997.02

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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.