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Finding the Fourth Proportional to 100,586.14, 138,808.32 and 54,645.40

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Solution

The fourth proportional to 100,586.14, 138,808.32 and 54,645.40 is: 75,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586.14 : 138,808.32 = 54,645.40 : x
  2. Step 2: Convert to fraction form
    100,586.14/138,808.32 = 54,645.40/x
  3. Step 3: Cross multiply
    100,586.14x = 138,808.32 × 54,645.40
  4. Step 4: Simplify right side
    100,586.14x = 7,585,236,169.73
  5. Step 5: Solve for x
    x = 7,585,236,169.73/100,586.14
  6. Step 6: Final answer
    x = 75,410.35

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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.