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Finding the Fourth Proportional to 232,996.03, 349,626.78 and 90,822.80

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Solution

The fourth proportional to 232,996.03, 349,626.78 and 90,822.80 is: 136,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,996.03 : 349,626.78 = 90,822.80 : x
  2. Step 2: Convert to fraction form
    232,996.03/349,626.78 = 90,822.80/x
  3. Step 3: Cross multiply
    232,996.03x = 349,626.78 × 90,822.80
  4. Step 4: Simplify right side
    232,996.03x = 31,754,083,988.65
  5. Step 5: Solve for x
    x = 31,754,083,988.65/232,996.03
  6. Step 6: Final answer
    x = 136,285.95

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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.