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Finding the Fourth Proportional to 144,546.53, 216,781.52 and 65,643.21

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Solution

The fourth proportional to 144,546.53, 216,781.52 and 65,643.21 is: 98,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,546.53 : 216,781.52 = 65,643.21 : x
  2. Step 2: Convert to fraction form
    144,546.53/216,781.52 = 65,643.21/x
  3. Step 3: Cross multiply
    144,546.53x = 216,781.52 × 65,643.21
  4. Step 4: Simplify right side
    144,546.53x = 14,230,234,513.26
  5. Step 5: Solve for x
    x = 14,230,234,513.26/144,546.53
  6. Step 6: Final answer
    x = 98,447.43

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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.