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Finding the Fourth Proportional to 140,488.95, 193,876.28 and 76,825.38

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Solution

The fourth proportional to 140,488.95, 193,876.28 and 76,825.38 is: 106,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,488.95 : 193,876.28 = 76,825.38 : x
  2. Step 2: Convert to fraction form
    140,488.95/193,876.28 = 76,825.38/x
  3. Step 3: Cross multiply
    140,488.95x = 193,876.28 × 76,825.38
  4. Step 4: Simplify right side
    140,488.95x = 14,894,618,883.99
  5. Step 5: Solve for x
    x = 14,894,618,883.99/140,488.95
  6. Step 6: Final answer
    x = 106,019.86

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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.