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Finding the Fourth Proportional to 142,000.38, 195,959.43 and 78,340.86

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Solution

The fourth proportional to 142,000.38, 195,959.43 and 78,340.86 is: 108,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,000.38 : 195,959.43 = 78,340.86 : x
  2. Step 2: Convert to fraction form
    142,000.38/195,959.43 = 78,340.86/x
  3. Step 3: Cross multiply
    142,000.38x = 195,959.43 × 78,340.86
  4. Step 4: Simplify right side
    142,000.38x = 15,351,630,271.31
  5. Step 5: Solve for x
    x = 15,351,630,271.31/142,000.38
  6. Step 6: Final answer
    x = 108,109.78

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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.