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Finding the Fourth Proportional to 233,707, 322,508.82 and 131,738.44

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Solution

The fourth proportional to 233,707, 322,508.82 and 131,738.44 is: 181,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,707 : 322,508.82 = 131,738.44 : x
  2. Step 2: Convert to fraction form
    233,707/322,508.82 = 131,738.44/x
  3. Step 3: Cross multiply
    233,707x = 322,508.82 × 131,738.44
  4. Step 4: Simplify right side
    233,707x = 42,486,808,833.04
  5. Step 5: Solve for x
    x = 42,486,808,833.04/233,707
  6. Step 6: Final answer
    x = 181,795.19

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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.