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Finding the Fourth Proportional to 218,209.20, 327,313.80 and 176,737.20

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Solution

The fourth proportional to 218,209.20, 327,313.80 and 176,737.20 is: 265,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,209.20 : 327,313.80 = 176,737.20 : x
  2. Step 2: Convert to fraction form
    218,209.20/327,313.80 = 176,737.20/x
  3. Step 3: Cross multiply
    218,209.20x = 327,313.80 × 176,737.20
  4. Step 4: Simplify right side
    218,209.20x = 57,848,524,533.36
  5. Step 5: Solve for x
    x = 57,848,524,533.36/218,209.20
  6. Step 6: Final answer
    x = 265,105.80

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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.