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Finding the Fourth Proportional to 144,377.16, 216,589.10 and 44,514

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Solution

The fourth proportional to 144,377.16, 216,589.10 and 44,514 is: 66,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,377.16 : 216,589.10 = 44,514 : x
  2. Step 2: Convert to fraction form
    144,377.16/216,589.10 = 44,514/x
  3. Step 3: Cross multiply
    144,377.16x = 216,589.10 × 44,514
  4. Step 4: Simplify right side
    144,377.16x = 9,641,247,197.40
  5. Step 5: Solve for x
    x = 9,641,247,197.40/144,377.16
  6. Step 6: Final answer
    x = 66,778.20

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