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Finding the Fourth Proportional to 218,276.40, 327,107.40 and 161,674.80

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Solution

The fourth proportional to 218,276.40, 327,107.40 and 161,674.80 is: 242,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,276.40 : 327,107.40 = 161,674.80 : x
  2. Step 2: Convert to fraction form
    218,276.40/327,107.40 = 161,674.80/x
  3. Step 3: Cross multiply
    218,276.40x = 327,107.40 × 161,674.80
  4. Step 4: Simplify right side
    218,276.40x = 52,885,023,473.52
  5. Step 5: Solve for x
    x = 52,885,023,473.52/218,276.40
  6. Step 6: Final answer
    x = 242,284.66

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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.