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Finding the Fourth Proportional to 100,230.19, 138,321.11 and 54,908.16

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Solution

The fourth proportional to 100,230.19, 138,321.11 and 54,908.16 is: 75,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,230.19 : 138,321.11 = 54,908.16 : x
  2. Step 2: Convert to fraction form
    100,230.19/138,321.11 = 54,908.16/x
  3. Step 3: Cross multiply
    100,230.19x = 138,321.11 × 54,908.16
  4. Step 4: Simplify right side
    100,230.19x = 7,594,957,364.72
  5. Step 5: Solve for x
    x = 7,594,957,364.72/100,230.19
  6. Step 6: Final answer
    x = 75,775.15

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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.