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Finding the Fourth Proportional to 144,379.16, 216,592.10 and 44,516

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Solution

The fourth proportional to 144,379.16, 216,592.10 and 44,516 is: 66,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,379.16 : 216,592.10 = 44,516 : x
  2. Step 2: Convert to fraction form
    144,379.16/216,592.10 = 44,516/x
  3. Step 3: Cross multiply
    144,379.16x = 216,592.10 × 44,516
  4. Step 4: Simplify right side
    144,379.16x = 9,641,813,923.60
  5. Step 5: Solve for x
    x = 9,641,813,923.60/144,379.16
  6. Step 6: Final answer
    x = 66,781.20

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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.