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Finding the Fourth Proportional to 232,867, 321,356.46 and 126,883

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Solution

The fourth proportional to 232,867, 321,356.46 and 126,883 is: 175,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,867 : 321,356.46 = 126,883 : x
  2. Step 2: Convert to fraction form
    232,867/321,356.46 = 126,883/x
  3. Step 3: Cross multiply
    232,867x = 321,356.46 × 126,883
  4. Step 4: Simplify right side
    232,867x = 40,774,671,714.18
  5. Step 5: Solve for x
    x = 40,774,671,714.18/232,867
  6. Step 6: Final answer
    x = 175,098.54

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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.