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Finding the Fourth Proportional to 142,597.48, 213,944.84 and 53,876.56

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Solution

The fourth proportional to 142,597.48, 213,944.84 and 53,876.56 is: 80,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,597.48 : 213,944.84 = 53,876.56 : x
  2. Step 2: Convert to fraction form
    142,597.48/213,944.84 = 53,876.56/x
  3. Step 3: Cross multiply
    142,597.48x = 213,944.84 × 53,876.56
  4. Step 4: Simplify right side
    142,597.48x = 11,526,612,008.95
  5. Step 5: Solve for x
    x = 11,526,612,008.95/142,597.48
  6. Step 6: Final answer
    x = 80,833.21

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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.