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Finding the Fourth Proportional to 99,493.34, 137,300.73 and 54,781.34

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Solution

The fourth proportional to 99,493.34, 137,300.73 and 54,781.34 is: 75,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,493.34 : 137,300.73 = 54,781.34 : x
  2. Step 2: Convert to fraction form
    99,493.34/137,300.73 = 54,781.34/x
  3. Step 3: Cross multiply
    99,493.34x = 137,300.73 × 54,781.34
  4. Step 4: Simplify right side
    99,493.34x = 7,521,517,972.38
  5. Step 5: Solve for x
    x = 7,521,517,972.38/99,493.34
  6. Step 6: Final answer
    x = 75,598.21

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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.