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Finding the Fourth Proportional to 100,860.66, 138,931.38 and 76,945.82

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Solution

The fourth proportional to 100,860.66, 138,931.38 and 76,945.82 is: 105,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,860.66 : 138,931.38 = 76,945.82 : x
  2. Step 2: Convert to fraction form
    100,860.66/138,931.38 = 76,945.82/x
  3. Step 3: Cross multiply
    100,860.66x = 138,931.38 × 76,945.82
  4. Step 4: Simplify right side
    100,860.66x = 10,690,188,957.83
  5. Step 5: Solve for x
    x = 10,690,188,957.83/100,860.66
  6. Step 6: Final answer
    x = 105,989.68

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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.