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Finding the Fourth Proportional to 232,395.49, 347,713.56 and 137,676.52

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Solution

The fourth proportional to 232,395.49, 347,713.56 and 137,676.52 is: 205,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,395.49 : 347,713.56 = 137,676.52 : x
  2. Step 2: Convert to fraction form
    232,395.49/347,713.56 = 137,676.52/x
  3. Step 3: Cross multiply
    232,395.49x = 347,713.56 × 137,676.52
  4. Step 4: Simplify right side
    232,395.49x = 47,871,992,897.61
  5. Step 5: Solve for x
    x = 47,871,992,897.61/232,395.49
  6. Step 6: Final answer
    x = 205,993.64

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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.