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Finding the Fourth Proportional to 172,254.54, 258,270.66 and 82,248.54

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Solution

The fourth proportional to 172,254.54, 258,270.66 and 82,248.54 is: 123,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,254.54 : 258,270.66 = 82,248.54 : x
  2. Step 2: Convert to fraction form
    172,254.54/258,270.66 = 82,248.54/x
  3. Step 3: Cross multiply
    172,254.54x = 258,270.66 × 82,248.54
  4. Step 4: Simplify right side
    172,254.54x = 21,242,384,709.84
  5. Step 5: Solve for x
    x = 21,242,384,709.84/172,254.54
  6. Step 6: Final answer
    x = 123,319.74

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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.