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Finding the Fourth Proportional to 142,234.38, 213,382.74 and 53,487.86

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Solution

The fourth proportional to 142,234.38, 213,382.74 and 53,487.86 is: 80,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,234.38 : 213,382.74 = 53,487.86 : x
  2. Step 2: Convert to fraction form
    142,234.38/213,382.74 = 53,487.86/x
  3. Step 3: Cross multiply
    142,234.38x = 213,382.74 × 53,487.86
  4. Step 4: Simplify right side
    142,234.38x = 11,413,385,056.62
  5. Step 5: Solve for x
    x = 11,413,385,056.62/142,234.38
  6. Step 6: Final answer
    x = 80,243.50

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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.