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Finding the Fourth Proportional to 140,101, 193,339.38 and 89,800.12

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Solution

The fourth proportional to 140,101, 193,339.38 and 89,800.12 is: 123,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,101 : 193,339.38 = 89,800.12 : x
  2. Step 2: Convert to fraction form
    140,101/193,339.38 = 89,800.12/x
  3. Step 3: Cross multiply
    140,101x = 193,339.38 × 89,800.12
  4. Step 4: Simplify right side
    140,101x = 17,361,899,524.73
  5. Step 5: Solve for x
    x = 17,361,899,524.73/140,101
  6. Step 6: Final answer
    x = 123,924.17

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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.