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Finding the Fourth Proportional to 222,429, 306,951.54 and 120,454.42

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Solution

The fourth proportional to 222,429, 306,951.54 and 120,454.42 is: 166,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,429 : 306,951.54 = 120,454.42 : x
  2. Step 2: Convert to fraction form
    222,429/306,951.54 = 120,454.42/x
  3. Step 3: Cross multiply
    222,429x = 306,951.54 × 120,454.42
  4. Step 4: Simplify right side
    222,429x = 36,973,669,718.81
  5. Step 5: Solve for x
    x = 36,973,669,718.81/222,429
  6. Step 6: Final answer
    x = 166,226.84

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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.