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Finding the Fourth Proportional to 186,589.53, 257,493.33 and 101,706.57

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Solution

The fourth proportional to 186,589.53, 257,493.33 and 101,706.57 is: 140,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,589.53 : 257,493.33 = 101,706.57 : x
  2. Step 2: Convert to fraction form
    186,589.53/257,493.33 = 101,706.57/x
  3. Step 3: Cross multiply
    186,589.53x = 257,493.33 × 101,706.57
  4. Step 4: Simplify right side
    186,589.53x = 26,188,763,392.18
  5. Step 5: Solve for x
    x = 26,188,763,392.18/186,589.53
  6. Step 6: Final answer
    x = 140,354.95

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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.