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Finding the Fourth Proportional to 139,715.86, 192,981 and 101,414.20

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Solution

The fourth proportional to 139,715.86, 192,981 and 101,414.20 is: 140,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,715.86 : 192,981 = 101,414.20 : x
  2. Step 2: Convert to fraction form
    139,715.86/192,981 = 101,414.20/x
  3. Step 3: Cross multiply
    139,715.86x = 192,981 × 101,414.20
  4. Step 4: Simplify right side
    139,715.86x = 19,571,013,730.20
  5. Step 5: Solve for x
    x = 19,571,013,730.20/139,715.86
  6. Step 6: Final answer
    x = 140,077.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.