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Finding the Fourth Proportional to 130,897, 180,631.38 and 79,850.80

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Solution

The fourth proportional to 130,897, 180,631.38 and 79,850.80 is: 110,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,897 : 180,631.38 = 79,850.80 : x
  2. Step 2: Convert to fraction form
    130,897/180,631.38 = 79,850.80/x
  3. Step 3: Cross multiply
    130,897x = 180,631.38 × 79,850.80
  4. Step 4: Simplify right side
    130,897x = 14,423,560,198.10
  5. Step 5: Solve for x
    x = 14,423,560,198.10/130,897
  6. Step 6: Final answer
    x = 110,190.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.