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Finding the Fourth Proportional to 232,808, 321,275.04 and 126,824

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Solution

The fourth proportional to 232,808, 321,275.04 and 126,824 is: 175,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,808 : 321,275.04 = 126,824 : x
  2. Step 2: Convert to fraction form
    232,808/321,275.04 = 126,824/x
  3. Step 3: Cross multiply
    232,808x = 321,275.04 × 126,824
  4. Step 4: Simplify right side
    232,808x = 40,745,385,672.96
  5. Step 5: Solve for x
    x = 40,745,385,672.96/232,808
  6. Step 6: Final answer
    x = 175,017.12

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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.