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Finding the Fourth Proportional to 186,766.50, 257,737.77 and 101,883.90

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Solution

The fourth proportional to 186,766.50, 257,737.77 and 101,883.90 is: 140,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,766.50 : 257,737.77 = 101,883.90 : x
  2. Step 2: Convert to fraction form
    186,766.50/257,737.77 = 101,883.90/x
  3. Step 3: Cross multiply
    186,766.50x = 257,737.77 × 101,883.90
  4. Step 4: Simplify right side
    186,766.50x = 26,259,329,184.90
  5. Step 5: Solve for x
    x = 26,259,329,184.90/186,766.50
  6. Step 6: Final answer
    x = 140,599.78

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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.