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Finding the Fourth Proportional to 230,446.29, 317,990.20 and 128,464.05

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Solution

The fourth proportional to 230,446.29, 317,990.20 and 128,464.05 is: 177,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,446.29 : 317,990.20 = 128,464.05 : x
  2. Step 2: Convert to fraction form
    230,446.29/317,990.20 = 128,464.05/x
  3. Step 3: Cross multiply
    230,446.29x = 317,990.20 × 128,464.05
  4. Step 4: Simplify right side
    230,446.29x = 40,850,308,952.31
  5. Step 5: Solve for x
    x = 40,850,308,952.31/230,446.29
  6. Step 6: Final answer
    x = 177,266.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.