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Finding the Fourth Proportional to 220,901.60, 304,847.68 and 120,299.52

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Solution

The fourth proportional to 220,901.60, 304,847.68 and 120,299.52 is: 166,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,901.60 : 304,847.68 = 120,299.52 : x
  2. Step 2: Convert to fraction form
    220,901.60/304,847.68 = 120,299.52/x
  3. Step 3: Cross multiply
    220,901.60x = 304,847.68 × 120,299.52
  4. Step 4: Simplify right side
    220,901.60x = 36,673,029,577.11
  5. Step 5: Solve for x
    x = 36,673,029,577.11/220,901.60
  6. Step 6: Final answer
    x = 166,015.23

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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.