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Finding the Fourth Proportional to 285,986.96, 428,983.50 and 86,309.14

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Solution

The fourth proportional to 285,986.96, 428,983.50 and 86,309.14 is: 129,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,986.96 : 428,983.50 = 86,309.14 : x
  2. Step 2: Convert to fraction form
    285,986.96/428,983.50 = 86,309.14/x
  3. Step 3: Cross multiply
    285,986.96x = 428,983.50 × 86,309.14
  4. Step 4: Simplify right side
    285,986.96x = 37,025,196,959.19
  5. Step 5: Solve for x
    x = 37,025,196,959.19/285,986.96
  6. Step 6: Final answer
    x = 129,464.63

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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.