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Finding the Fourth Proportional to 233,675.25, 322,471.44 and 126,244.95

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Solution

The fourth proportional to 233,675.25, 322,471.44 and 126,244.95 is: 174,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,675.25 : 322,471.44 = 126,244.95 : x
  2. Step 2: Convert to fraction form
    233,675.25/322,471.44 = 126,244.95/x
  3. Step 3: Cross multiply
    233,675.25x = 322,471.44 × 126,244.95
  4. Step 4: Simplify right side
    233,675.25x = 40,710,390,819.23
  5. Step 5: Solve for x
    x = 40,710,390,819.23/233,675.25
  6. Step 6: Final answer
    x = 174,217.81

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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.