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Finding the Fourth Proportional to 241,217.38, 332,900.40 and 133,822

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Solution

The fourth proportional to 241,217.38, 332,900.40 and 133,822 is: 184,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,217.38 : 332,900.40 = 133,822 : x
  2. Step 2: Convert to fraction form
    241,217.38/332,900.40 = 133,822/x
  3. Step 3: Cross multiply
    241,217.38x = 332,900.40 × 133,822
  4. Step 4: Simplify right side
    241,217.38x = 44,549,397,328.80
  5. Step 5: Solve for x
    x = 44,549,397,328.80/241,217.38
  6. Step 6: Final answer
    x = 184,685.69

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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.