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Finding the Fourth Proportional to 100,185.12, 138,258.04 and 54,865.60

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Solution

The fourth proportional to 100,185.12, 138,258.04 and 54,865.60 is: 75,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,185.12 : 138,258.04 = 54,865.60 : x
  2. Step 2: Convert to fraction form
    100,185.12/138,258.04 = 54,865.60/x
  3. Step 3: Cross multiply
    100,185.12x = 138,258.04 × 54,865.60
  4. Step 4: Simplify right side
    100,185.12x = 7,585,610,319.42
  5. Step 5: Solve for x
    x = 7,585,610,319.42/100,185.12
  6. Step 6: Final answer
    x = 75,715.94

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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.