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Finding the Fourth Proportional to 232,315.98, 320,694.30 and 156,966.54

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Solution

The fourth proportional to 232,315.98, 320,694.30 and 156,966.54 is: 216,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,315.98 : 320,694.30 = 156,966.54 : x
  2. Step 2: Convert to fraction form
    232,315.98/320,694.30 = 156,966.54/x
  3. Step 3: Cross multiply
    232,315.98x = 320,694.30 × 156,966.54
  4. Step 4: Simplify right side
    232,315.98x = 50,338,274,668.72
  5. Step 5: Solve for x
    x = 50,338,274,668.72/232,315.98
  6. Step 6: Final answer
    x = 216,680.21

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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.