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Finding the Fourth Proportional to 172,193.32, 258,304.86 and 47,534.32

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Solution

The fourth proportional to 172,193.32, 258,304.86 and 47,534.32 is: 71,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,193.32 : 258,304.86 = 47,534.32 : x
  2. Step 2: Convert to fraction form
    172,193.32/258,304.86 = 47,534.32/x
  3. Step 3: Cross multiply
    172,193.32x = 258,304.86 × 47,534.32
  4. Step 4: Simplify right side
    172,193.32x = 12,278,345,872.80
  5. Step 5: Solve for x
    x = 12,278,345,872.80/172,193.32
  6. Step 6: Final answer
    x = 71,305.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.