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Finding the Fourth Proportional to 99,833.34, 137,772.85 and 54,514.20

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Solution

The fourth proportional to 99,833.34, 137,772.85 and 54,514.20 is: 75,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,833.34 : 137,772.85 = 54,514.20 : x
  2. Step 2: Convert to fraction form
    99,833.34/137,772.85 = 54,514.20/x
  3. Step 3: Cross multiply
    99,833.34x = 137,772.85 × 54,514.20
  4. Step 4: Simplify right side
    99,833.34x = 7,510,576,699.47
  5. Step 5: Solve for x
    x = 7,510,576,699.47/99,833.34
  6. Step 6: Final answer
    x = 75,231.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.