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Finding the Fourth Proportional to 144,380.16, 216,593.60 and 44,517

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Solution

The fourth proportional to 144,380.16, 216,593.60 and 44,517 is: 66,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,380.16 : 216,593.60 = 44,517 : x
  2. Step 2: Convert to fraction form
    144,380.16/216,593.60 = 44,517/x
  3. Step 3: Cross multiply
    144,380.16x = 216,593.60 × 44,517
  4. Step 4: Simplify right side
    144,380.16x = 9,642,097,291.20
  5. Step 5: Solve for x
    x = 9,642,097,291.20/144,380.16
  6. Step 6: Final answer
    x = 66,782.70

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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.