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Finding the Fourth Proportional to 99,768.32, 137,683.17 and 54,449.21

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Solution

The fourth proportional to 99,768.32, 137,683.17 and 54,449.21 is: 75,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,768.32 : 137,683.17 = 54,449.21 : x
  2. Step 2: Convert to fraction form
    99,768.32/137,683.17 = 54,449.21/x
  3. Step 3: Cross multiply
    99,768.32x = 137,683.17 × 54,449.21
  4. Step 4: Simplify right side
    99,768.32x = 7,496,739,148.38
  5. Step 5: Solve for x
    x = 7,496,739,148.38/99,768.32
  6. Step 6: Final answer
    x = 75,141.48

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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.