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Finding the Fourth Proportional to 142,243.80, 213,470.69 and 67,363.80

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Solution

The fourth proportional to 142,243.80, 213,470.69 and 67,363.80 is: 101,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,243.80 : 213,470.69 = 67,363.80 : x
  2. Step 2: Convert to fraction form
    142,243.80/213,470.69 = 67,363.80/x
  3. Step 3: Cross multiply
    142,243.80x = 213,470.69 × 67,363.80
  4. Step 4: Simplify right side
    142,243.80x = 14,380,196,867.02
  5. Step 5: Solve for x
    x = 14,380,196,867.02/142,243.80
  6. Step 6: Final answer
    x = 101,095.42

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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.