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Finding the Fourth Proportional to 140,494.95, 193,884.56 and 76,831.38

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Solution

The fourth proportional to 140,494.95, 193,884.56 and 76,831.38 is: 106,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,494.95 : 193,884.56 = 76,831.38 : x
  2. Step 2: Convert to fraction form
    140,494.95/193,884.56 = 76,831.38/x
  3. Step 3: Cross multiply
    140,494.95x = 193,884.56 × 76,831.38
  4. Step 4: Simplify right side
    140,494.95x = 14,896,418,305.49
  5. Step 5: Solve for x
    x = 14,896,418,305.49/140,494.95
  6. Step 6: Final answer
    x = 106,028.14

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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.