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Finding the Fourth Proportional to 220,833.40, 304,750.12 and 120,231.40

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Solution

The fourth proportional to 220,833.40, 304,750.12 and 120,231.40 is: 165,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,833.40 : 304,750.12 = 120,231.40 : x
  2. Step 2: Convert to fraction form
    220,833.40/304,750.12 = 120,231.40/x
  3. Step 3: Cross multiply
    220,833.40x = 304,750.12 × 120,231.40
  4. Step 4: Simplify right side
    220,833.40x = 36,640,533,577.77
  5. Step 5: Solve for x
    x = 36,640,533,577.77/220,833.40
  6. Step 6: Final answer
    x = 165,919.35

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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.