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Finding the Fourth Proportional to 230,632, 318,107.04 and 149,908.96

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Solution

The fourth proportional to 230,632, 318,107.04 and 149,908.96 is: 206,767.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,632 : 318,107.04 = 149,908.96 : x
  2. Step 2: Convert to fraction form
    230,632/318,107.04 = 149,908.96/x
  3. Step 3: Cross multiply
    230,632x = 318,107.04 × 149,908.96
  4. Step 4: Simplify right side
    230,632x = 47,687,095,535.08
  5. Step 5: Solve for x
    x = 47,687,095,535.08/230,632
  6. Step 6: Final answer
    x = 206,767.04

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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.