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Finding the Fourth Proportional to 167,542.40, 251,234.40 and 97,443.20

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Solution

The fourth proportional to 167,542.40, 251,234.40 and 97,443.20 is: 146,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,542.40 : 251,234.40 = 97,443.20 : x
  2. Step 2: Convert to fraction form
    167,542.40/251,234.40 = 97,443.20/x
  3. Step 3: Cross multiply
    167,542.40x = 251,234.40 × 97,443.20
  4. Step 4: Simplify right side
    167,542.40x = 24,481,083,886.08
  5. Step 5: Solve for x
    x = 24,481,083,886.08/167,542.40
  6. Step 6: Final answer
    x = 146,118.74

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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.