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Finding the Fourth Proportional to 218,605.80, 327,908.70 and 78,378.60

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Solution

The fourth proportional to 218,605.80, 327,908.70 and 78,378.60 is: 117,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,605.80 : 327,908.70 = 78,378.60 : x
  2. Step 2: Convert to fraction form
    218,605.80/327,908.70 = 78,378.60/x
  3. Step 3: Cross multiply
    218,605.80x = 327,908.70 × 78,378.60
  4. Step 4: Simplify right side
    218,605.80x = 25,701,024,833.82
  5. Step 5: Solve for x
    x = 25,701,024,833.82/218,605.80
  6. Step 6: Final answer
    x = 117,567.90

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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.