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Finding the Fourth Proportional to 260,270.64, 390,405.96 and 82,777.68

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Solution

The fourth proportional to 260,270.64, 390,405.96 and 82,777.68 is: 124,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,270.64 : 390,405.96 = 82,777.68 : x
  2. Step 2: Convert to fraction form
    260,270.64/390,405.96 = 82,777.68/x
  3. Step 3: Cross multiply
    260,270.64x = 390,405.96 × 82,777.68
  4. Step 4: Simplify right side
    260,270.64x = 32,316,899,626.97
  5. Step 5: Solve for x
    x = 32,316,899,626.97/260,270.64
  6. Step 6: Final answer
    x = 124,166.52

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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.