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Finding the Fourth Proportional to 144,002.84, 198,724.04 and 80,340.65

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Solution

The fourth proportional to 144,002.84, 198,724.04 and 80,340.65 is: 110,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,002.84 : 198,724.04 = 80,340.65 : x
  2. Step 2: Convert to fraction form
    144,002.84/198,724.04 = 80,340.65/x
  3. Step 3: Cross multiply
    144,002.84x = 198,724.04 × 80,340.65
  4. Step 4: Simplify right side
    144,002.84x = 15,965,617,148.90
  5. Step 5: Solve for x
    x = 15,965,617,148.90/144,002.84
  6. Step 6: Final answer
    x = 110,870.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.