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Finding the Fourth Proportional to 269,231.56, 403,847.34 and 91,647.16

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Solution

The fourth proportional to 269,231.56, 403,847.34 and 91,647.16 is: 137,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,231.56 : 403,847.34 = 91,647.16 : x
  2. Step 2: Convert to fraction form
    269,231.56/403,847.34 = 91,647.16/x
  3. Step 3: Cross multiply
    269,231.56x = 403,847.34 × 91,647.16
  4. Step 4: Simplify right side
    269,231.56x = 37,011,461,784.55
  5. Step 5: Solve for x
    x = 37,011,461,784.55/269,231.56
  6. Step 6: Final answer
    x = 137,470.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.