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Finding the Fourth Proportional to 146,084.80, 218,965.20 and 57,308.80

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Solution

The fourth proportional to 146,084.80, 218,965.20 and 57,308.80 is: 85,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,084.80 : 218,965.20 = 57,308.80 : x
  2. Step 2: Convert to fraction form
    146,084.80/218,965.20 = 57,308.80/x
  3. Step 3: Cross multiply
    146,084.80x = 218,965.20 × 57,308.80
  4. Step 4: Simplify right side
    146,084.80x = 12,548,632,853.76
  5. Step 5: Solve for x
    x = 12,548,632,853.76/146,084.80
  6. Step 6: Final answer
    x = 85,899.65

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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.