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Finding the Fourth Proportional to 265,359.95, 398,041.29 and 75,842.73

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Solution

The fourth proportional to 265,359.95, 398,041.29 and 75,842.73 is: 113,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,359.95 : 398,041.29 = 75,842.73 : x
  2. Step 2: Convert to fraction form
    265,359.95/398,041.29 = 75,842.73/x
  3. Step 3: Cross multiply
    265,359.95x = 398,041.29 × 75,842.73
  4. Step 4: Simplify right side
    265,359.95x = 30,188,538,086.32
  5. Step 5: Solve for x
    x = 30,188,538,086.32/265,359.95
  6. Step 6: Final answer
    x = 113,764.49

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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.