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Finding the Fourth Proportional to 232,855.67, 349,001.22 and 165,281.42

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Solution

The fourth proportional to 232,855.67, 349,001.22 and 165,281.42 is: 247,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,855.67 : 349,001.22 = 165,281.42 : x
  2. Step 2: Convert to fraction form
    232,855.67/349,001.22 = 165,281.42/x
  3. Step 3: Cross multiply
    232,855.67x = 349,001.22 × 165,281.42
  4. Step 4: Simplify right side
    232,855.67x = 57,683,417,223.33
  5. Step 5: Solve for x
    x = 57,683,417,223.33/232,855.67
  6. Step 6: Final answer
    x = 247,721.76

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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.