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Finding the Fourth Proportional to 121,570.96, 182,191.72 and 54,927.96

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Solution

The fourth proportional to 121,570.96, 182,191.72 and 54,927.96 is: 82,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,570.96 : 182,191.72 = 54,927.96 : x
  2. Step 2: Convert to fraction form
    121,570.96/182,191.72 = 54,927.96/x
  3. Step 3: Cross multiply
    121,570.96x = 182,191.72 × 54,927.96
  4. Step 4: Simplify right side
    121,570.96x = 10,007,419,508.49
  5. Step 5: Solve for x
    x = 10,007,419,508.49/121,570.96
  6. Step 6: Final answer
    x = 82,317.52

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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.