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Finding the Fourth Proportional to 213,773.60, 320,660.40 and 82,445.60

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Solution

The fourth proportional to 213,773.60, 320,660.40 and 82,445.60 is: 123,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,773.60 : 320,660.40 = 82,445.60 : x
  2. Step 2: Convert to fraction form
    213,773.60/320,660.40 = 82,445.60/x
  3. Step 3: Cross multiply
    213,773.60x = 320,660.40 × 82,445.60
  4. Step 4: Simplify right side
    213,773.60x = 26,437,039,074.24
  5. Step 5: Solve for x
    x = 26,437,039,074.24/213,773.60
  6. Step 6: Final answer
    x = 123,668.40

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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.