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Finding the Fourth Proportional to 232,854, 321,338.52 and 126,870

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Solution

The fourth proportional to 232,854, 321,338.52 and 126,870 is: 175,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,854 : 321,338.52 = 126,870 : x
  2. Step 2: Convert to fraction form
    232,854/321,338.52 = 126,870/x
  3. Step 3: Cross multiply
    232,854x = 321,338.52 × 126,870
  4. Step 4: Simplify right side
    232,854x = 40,768,218,032.40
  5. Step 5: Solve for x
    x = 40,768,218,032.40/232,854
  6. Step 6: Final answer
    x = 175,080.60

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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.