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Finding the Fourth Proportional to 230,032.76, 344,995.49 and 87,825.82

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Solution

The fourth proportional to 230,032.76, 344,995.49 and 87,825.82 is: 131,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,032.76 : 344,995.49 = 87,825.82 : x
  2. Step 2: Convert to fraction form
    230,032.76/344,995.49 = 87,825.82/x
  3. Step 3: Cross multiply
    230,032.76x = 344,995.49 × 87,825.82
  4. Step 4: Simplify right side
    230,032.76x = 30,299,511,685.99
  5. Step 5: Solve for x
    x = 30,299,511,685.99/230,032.76
  6. Step 6: Final answer
    x = 131,718.25

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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.