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Finding the Fourth Proportional to 220,826.42, 304,740.51 and 120,224.42

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Solution

The fourth proportional to 220,826.42, 304,740.51 and 120,224.42 is: 165,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,826.42 : 304,740.51 = 120,224.42 : x
  2. Step 2: Convert to fraction form
    220,826.42/304,740.51 = 120,224.42/x
  3. Step 3: Cross multiply
    220,826.42x = 304,740.51 × 120,224.42
  4. Step 4: Simplify right side
    220,826.42x = 36,637,251,065.25
  5. Step 5: Solve for x
    x = 36,637,251,065.25/220,826.42
  6. Step 6: Final answer
    x = 165,909.73

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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.