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Finding the Fourth Proportional to 232,508.84, 320,872.74 and 137,019.56

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Solution

The fourth proportional to 232,508.84, 320,872.74 and 137,019.56 is: 189,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,508.84 : 320,872.74 = 137,019.56 : x
  2. Step 2: Convert to fraction form
    232,508.84/320,872.74 = 137,019.56/x
  3. Step 3: Cross multiply
    232,508.84x = 320,872.74 × 137,019.56
  4. Step 4: Simplify right side
    232,508.84x = 43,965,841,650.79
  5. Step 5: Solve for x
    x = 43,965,841,650.79/232,508.84
  6. Step 6: Final answer
    x = 189,093.20

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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.