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Finding the Fourth Proportional to 144,651.12, 216,997.29 and 44,819.16

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Solution

The fourth proportional to 144,651.12, 216,997.29 and 44,819.16 is: 67,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,651.12 : 216,997.29 = 44,819.16 : x
  2. Step 2: Convert to fraction form
    144,651.12/216,997.29 = 44,819.16/x
  3. Step 3: Cross multiply
    144,651.12x = 216,997.29 × 44,819.16
  4. Step 4: Simplify right side
    144,651.12x = 9,725,636,260.08
  5. Step 5: Solve for x
    x = 9,725,636,260.08/144,651.12
  6. Step 6: Final answer
    x = 67,235.13

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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.