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Finding the Fourth Proportional to 131,143.80, 196,764.30 and 42,400.20

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Solution

The fourth proportional to 131,143.80, 196,764.30 and 42,400.20 is: 63,616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,143.80 : 196,764.30 = 42,400.20 : x
  2. Step 2: Convert to fraction form
    131,143.80/196,764.30 = 42,400.20/x
  3. Step 3: Cross multiply
    131,143.80x = 196,764.30 × 42,400.20
  4. Step 4: Simplify right side
    131,143.80x = 8,342,845,672.86
  5. Step 5: Solve for x
    x = 8,342,845,672.86/131,143.80
  6. Step 6: Final answer
    x = 63,616.01

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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.