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Finding the Fourth Proportional to 138,963.42, 208,495.35 and 54,677.16

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Solution

The fourth proportional to 138,963.42, 208,495.35 and 54,677.16 is: 82,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,963.42 : 208,495.35 = 54,677.16 : x
  2. Step 2: Convert to fraction form
    138,963.42/208,495.35 = 54,677.16/x
  3. Step 3: Cross multiply
    138,963.42x = 208,495.35 × 54,677.16
  4. Step 4: Simplify right side
    138,963.42x = 11,399,933,611.21
  5. Step 5: Solve for x
    x = 11,399,933,611.21/138,963.42
  6. Step 6: Final answer
    x = 82,035.50

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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.