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Finding the Fourth Proportional to 260,025.14, 390,086.13 and 82,484.30

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Solution

The fourth proportional to 260,025.14, 390,086.13 and 82,484.30 is: 123,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,025.14 : 390,086.13 = 82,484.30 : x
  2. Step 2: Convert to fraction form
    260,025.14/390,086.13 = 82,484.30/x
  3. Step 3: Cross multiply
    260,025.14x = 390,086.13 × 82,484.30
  4. Step 4: Simplify right side
    260,025.14x = 32,175,981,372.76
  5. Step 5: Solve for x
    x = 32,175,981,372.76/260,025.14
  6. Step 6: Final answer
    x = 123,741.81

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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.