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Finding the Fourth Proportional to 138,850.02, 191,613.15 and 78,433.56

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Solution

The fourth proportional to 138,850.02, 191,613.15 and 78,433.56 is: 108,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,850.02 : 191,613.15 = 78,433.56 : x
  2. Step 2: Convert to fraction form
    138,850.02/191,613.15 = 78,433.56/x
  3. Step 3: Cross multiply
    138,850.02x = 191,613.15 × 78,433.56
  4. Step 4: Simplify right side
    138,850.02x = 15,028,901,497.31
  5. Step 5: Solve for x
    x = 15,028,901,497.31/138,850.02
  6. Step 6: Final answer
    x = 108,238.38

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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.