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Finding the Fourth Proportional to 144,310.68, 216,229.38 and 101,984.03

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Solution

The fourth proportional to 144,310.68, 216,229.38 and 101,984.03 is: 152,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,310.68 : 216,229.38 = 101,984.03 : x
  2. Step 2: Convert to fraction form
    144,310.68/216,229.38 = 101,984.03/x
  3. Step 3: Cross multiply
    144,310.68x = 216,229.38 × 101,984.03
  4. Step 4: Simplify right side
    144,310.68x = 22,051,943,497.73
  5. Step 5: Solve for x
    x = 22,051,943,497.73/144,310.68
  6. Step 6: Final answer
    x = 152,808.81

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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.