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Finding the Fourth Proportional to 205,847.70, 308,771.55 and 121,648.20

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Solution

The fourth proportional to 205,847.70, 308,771.55 and 121,648.20 is: 182,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,847.70 : 308,771.55 = 121,648.20 : x
  2. Step 2: Convert to fraction form
    205,847.70/308,771.55 = 121,648.20/x
  3. Step 3: Cross multiply
    205,847.70x = 308,771.55 × 121,648.20
  4. Step 4: Simplify right side
    205,847.70x = 37,561,503,268.71
  5. Step 5: Solve for x
    x = 37,561,503,268.71/205,847.70
  6. Step 6: Final answer
    x = 182,472.30

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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.