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Finding the Fourth Proportional to 205,414.40, 308,145.60 and 65,187.20

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Solution

The fourth proportional to 205,414.40, 308,145.60 and 65,187.20 is: 97,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,414.40 : 308,145.60 = 65,187.20 : x
  2. Step 2: Convert to fraction form
    205,414.40/308,145.60 = 65,187.20/x
  3. Step 3: Cross multiply
    205,414.40x = 308,145.60 × 65,187.20
  4. Step 4: Simplify right side
    205,414.40x = 20,087,148,856.32
  5. Step 5: Solve for x
    x = 20,087,148,856.32/205,414.40
  6. Step 6: Final answer
    x = 97,788.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.