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Finding the Fourth Proportional to 129,782.40, 194,965.20 and 124,825.20

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Solution

The fourth proportional to 129,782.40, 194,965.20 and 124,825.20 is: 187,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,782.40 : 194,965.20 = 124,825.20 : x
  2. Step 2: Convert to fraction form
    129,782.40/194,965.20 = 124,825.20/x
  3. Step 3: Cross multiply
    129,782.40x = 194,965.20 × 124,825.20
  4. Step 4: Simplify right side
    129,782.40x = 24,336,570,083.04
  5. Step 5: Solve for x
    x = 24,336,570,083.04/129,782.40
  6. Step 6: Final answer
    x = 187,518.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.