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Finding the Fourth Proportional to 131,202.98, 195,780.79 and 117,065.78

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Solution

The fourth proportional to 131,202.98, 195,780.79 and 117,065.78 is: 174,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,202.98 : 195,780.79 = 117,065.78 : x
  2. Step 2: Convert to fraction form
    131,202.98/195,780.79 = 117,065.78/x
  3. Step 3: Cross multiply
    131,202.98x = 195,780.79 × 117,065.78
  4. Step 4: Simplify right side
    131,202.98x = 22,919,230,890.37
  5. Step 5: Solve for x
    x = 22,919,230,890.37/131,202.98
  6. Step 6: Final answer
    x = 174,685.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.