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Finding the Fourth Proportional to 260,922.96, 391,362.54 and 83,382.30

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Solution

The fourth proportional to 260,922.96, 391,362.54 and 83,382.30 is: 125,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,922.96 : 391,362.54 = 83,382.30 : x
  2. Step 2: Convert to fraction form
    260,922.96/391,362.54 = 83,382.30/x
  3. Step 3: Cross multiply
    260,922.96x = 391,362.54 × 83,382.30
  4. Step 4: Simplify right side
    260,922.96x = 32,632,708,719.04
  5. Step 5: Solve for x
    x = 32,632,708,719.04/260,922.96
  6. Step 6: Final answer
    x = 125,066.45

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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.