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Finding the Fourth Proportional to 260,449.50, 390,415.60 and 147,896.76

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Solution

The fourth proportional to 260,449.50, 390,415.60 and 147,896.76 is: 221,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,449.50 : 390,415.60 = 147,896.76 : x
  2. Step 2: Convert to fraction form
    260,449.50/390,415.60 = 147,896.76/x
  3. Step 3: Cross multiply
    260,449.50x = 390,415.60 × 147,896.76
  4. Step 4: Simplify right side
    260,449.50x = 57,741,202,293.46
  5. Step 5: Solve for x
    x = 57,741,202,293.46/260,449.50
  6. Step 6: Final answer
    x = 221,698.27

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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.