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Finding the Fourth Proportional to 199,430.20, 299,145.30 and 177,311.80

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Solution

The fourth proportional to 199,430.20, 299,145.30 and 177,311.80 is: 265,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,430.20 : 299,145.30 = 177,311.80 : x
  2. Step 2: Convert to fraction form
    199,430.20/299,145.30 = 177,311.80/x
  3. Step 3: Cross multiply
    199,430.20x = 299,145.30 × 177,311.80
  4. Step 4: Simplify right side
    199,430.20x = 53,041,991,604.54
  5. Step 5: Solve for x
    x = 53,041,991,604.54/199,430.20
  6. Step 6: Final answer
    x = 265,967.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.