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Finding the Fourth Proportional to 144,074.62, 216,065.20 and 47,986.26

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Solution

The fourth proportional to 144,074.62, 216,065.20 and 47,986.26 is: 71,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,074.62 : 216,065.20 = 47,986.26 : x
  2. Step 2: Convert to fraction form
    144,074.62/216,065.20 = 47,986.26/x
  3. Step 3: Cross multiply
    144,074.62x = 216,065.20 × 47,986.26
  4. Step 4: Simplify right side
    144,074.62x = 10,368,160,864.15
  5. Step 5: Solve for x
    x = 10,368,160,864.15/144,074.62
  6. Step 6: Final answer
    x = 71,963.83

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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.