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Finding the Fourth Proportional to 140,524.66, 193,931.14 and 83,196.90

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Solution

The fourth proportional to 140,524.66, 193,931.14 and 83,196.90 is: 114,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,524.66 : 193,931.14 = 83,196.90 : x
  2. Step 2: Convert to fraction form
    140,524.66/193,931.14 = 83,196.90/x
  3. Step 3: Cross multiply
    140,524.66x = 193,931.14 × 83,196.90
  4. Step 4: Simplify right side
    140,524.66x = 16,134,469,661.47
  5. Step 5: Solve for x
    x = 16,134,469,661.47/140,524.66
  6. Step 6: Final answer
    x = 114,815.93

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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.