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Finding the Fourth Proportional to 175,952.60, 263,756.10 and 87,219.80

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Solution

The fourth proportional to 175,952.60, 263,756.10 and 87,219.80 is: 130,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,952.60 : 263,756.10 = 87,219.80 : x
  2. Step 2: Convert to fraction form
    175,952.60/263,756.10 = 87,219.80/x
  3. Step 3: Cross multiply
    175,952.60x = 263,756.10 × 87,219.80
  4. Step 4: Simplify right side
    175,952.60x = 23,004,754,290.78
  5. Step 5: Solve for x
    x = 23,004,754,290.78/175,952.60
  6. Step 6: Final answer
    x = 130,744.04

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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.