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Finding the Fourth Proportional to 131,456.80, 197,233.80 and 42,713.20

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Solution

The fourth proportional to 131,456.80, 197,233.80 and 42,713.20 is: 64,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,456.80 : 197,233.80 = 42,713.20 : x
  2. Step 2: Convert to fraction form
    131,456.80/197,233.80 = 42,713.20/x
  3. Step 3: Cross multiply
    131,456.80x = 197,233.80 × 42,713.20
  4. Step 4: Simplify right side
    131,456.80x = 8,424,486,746.16
  5. Step 5: Solve for x
    x = 8,424,486,746.16/131,456.80
  6. Step 6: Final answer
    x = 64,085.59

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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.