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Finding the Fourth Proportional to 140,868.54, 194,401.17 and 77,205.87

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Solution

The fourth proportional to 140,868.54, 194,401.17 and 77,205.87 is: 106,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,868.54 : 194,401.17 = 77,205.87 : x
  2. Step 2: Convert to fraction form
    140,868.54/194,401.17 = 77,205.87/x
  3. Step 3: Cross multiply
    140,868.54x = 194,401.17 × 77,205.87
  4. Step 4: Simplify right side
    140,868.54x = 15,008,911,458.87
  5. Step 5: Solve for x
    x = 15,008,911,458.87/140,868.54
  6. Step 6: Final answer
    x = 106,545.52

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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.