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Finding the Fourth Proportional to 222,426.48, 306,948.71 and 120,452.74

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Solution

The fourth proportional to 222,426.48, 306,948.71 and 120,452.74 is: 166,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,426.48 : 306,948.71 = 120,452.74 : x
  2. Step 2: Convert to fraction form
    222,426.48/306,948.71 = 120,452.74/x
  3. Step 3: Cross multiply
    222,426.48x = 306,948.71 × 120,452.74
  4. Step 4: Simplify right side
    222,426.48x = 36,972,813,158.97
  5. Step 5: Solve for x
    x = 36,972,813,158.97/222,426.48
  6. Step 6: Final answer
    x = 166,224.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.