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Finding the Fourth Proportional to 144,267.62, 216,403.84 and 65,382.52

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Solution

The fourth proportional to 144,267.62, 216,403.84 and 65,382.52 is: 98,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,267.62 : 216,403.84 = 65,382.52 : x
  2. Step 2: Convert to fraction form
    144,267.62/216,403.84 = 65,382.52/x
  3. Step 3: Cross multiply
    144,267.62x = 216,403.84 × 65,382.52
  4. Step 4: Simplify right side
    144,267.62x = 14,149,028,396.88
  5. Step 5: Solve for x
    x = 14,149,028,396.88/144,267.62
  6. Step 6: Final answer
    x = 98,074.87

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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.