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Finding the Fourth Proportional to 179,771.40, 269,948.70 and 130,199.40

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Solution

The fourth proportional to 179,771.40, 269,948.70 and 130,199.40 is: 195,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,771.40 : 269,948.70 = 130,199.40 : x
  2. Step 2: Convert to fraction form
    179,771.40/269,948.70 = 130,199.40/x
  3. Step 3: Cross multiply
    179,771.40x = 269,948.70 × 130,199.40
  4. Step 4: Simplify right side
    179,771.40x = 35,147,158,770.78
  5. Step 5: Solve for x
    x = 35,147,158,770.78/179,771.40
  6. Step 6: Final answer
    x = 195,510.29

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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.