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Finding the Fourth Proportional to 142,405.80, 213,608.70 and 68,677.80

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Solution

The fourth proportional to 142,405.80, 213,608.70 and 68,677.80 is: 103,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,405.80 : 213,608.70 = 68,677.80 : x
  2. Step 2: Convert to fraction form
    142,405.80/213,608.70 = 68,677.80/x
  3. Step 3: Cross multiply
    142,405.80x = 213,608.70 × 68,677.80
  4. Step 4: Simplify right side
    142,405.80x = 14,670,175,576.86
  5. Step 5: Solve for x
    x = 14,670,175,576.86/142,405.80
  6. Step 6: Final answer
    x = 103,016.70

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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.