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Finding the Fourth Proportional to 327,165.12, 490,747.52 and 105,549.12

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Solution

The fourth proportional to 327,165.12, 490,747.52 and 105,549.12 is: 158,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,165.12 : 490,747.52 = 105,549.12 : x
  2. Step 2: Convert to fraction form
    327,165.12/490,747.52 = 105,549.12/x
  3. Step 3: Cross multiply
    327,165.12x = 490,747.52 × 105,549.12
  4. Step 4: Simplify right side
    327,165.12x = 51,797,968,878.18
  5. Step 5: Solve for x
    x = 51,797,968,878.18/327,165.12
  6. Step 6: Final answer
    x = 158,323.63

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1.5x scale

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.