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Finding the Fourth Proportional to 144,265.62, 216,400.84 and 65,380.52

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Solution

The fourth proportional to 144,265.62, 216,400.84 and 65,380.52 is: 98,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,265.62 : 216,400.84 = 65,380.52 : x
  2. Step 2: Convert to fraction form
    144,265.62/216,400.84 = 65,380.52/x
  3. Step 3: Cross multiply
    144,265.62x = 216,400.84 × 65,380.52
  4. Step 4: Simplify right side
    144,265.62x = 14,148,399,447.64
  5. Step 5: Solve for x
    x = 14,148,399,447.64/144,265.62
  6. Step 6: Final answer
    x = 98,071.87

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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.