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Finding the Fourth Proportional to 100,228.52, 138,315.41 and 54,908.14

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Solution

The fourth proportional to 100,228.52, 138,315.41 and 54,908.14 is: 75,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,228.52 : 138,315.41 = 54,908.14 : x
  2. Step 2: Convert to fraction form
    100,228.52/138,315.41 = 54,908.14/x
  3. Step 3: Cross multiply
    100,228.52x = 138,315.41 × 54,908.14
  4. Step 4: Simplify right side
    100,228.52x = 7,594,641,276.11
  5. Step 5: Solve for x
    x = 7,594,641,276.11/100,228.52
  6. Step 6: Final answer
    x = 75,773.26

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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.