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Finding the Fourth Proportional to 138,218.46, 190,747.60 and 77,793.01

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Solution

The fourth proportional to 138,218.46, 190,747.60 and 77,793.01 is: 107,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,218.46 : 190,747.60 = 77,793.01 : x
  2. Step 2: Convert to fraction form
    138,218.46/190,747.60 = 77,793.01/x
  3. Step 3: Cross multiply
    138,218.46x = 190,747.60 × 77,793.01
  4. Step 4: Simplify right side
    138,218.46x = 14,838,829,954.28
  5. Step 5: Solve for x
    x = 14,838,829,954.28/138,218.46
  6. Step 6: Final answer
    x = 107,357.81

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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.