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Finding the Fourth Proportional to 222,253.27, 306,710.49 and 120,278.74

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Solution

The fourth proportional to 222,253.27, 306,710.49 and 120,278.74 is: 165,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,253.27 : 306,710.49 = 120,278.74 : x
  2. Step 2: Convert to fraction form
    222,253.27/306,710.49 = 120,278.74/x
  3. Step 3: Cross multiply
    222,253.27x = 306,710.49 × 120,278.74
  4. Step 4: Simplify right side
    222,253.27x = 36,890,751,273.61
  5. Step 5: Solve for x
    x = 36,890,751,273.61/222,253.27
  6. Step 6: Final answer
    x = 165,985.19

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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.