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Finding the Fourth Proportional to 233,162.80, 349,744.20 and 227,978.80

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Solution

The fourth proportional to 233,162.80, 349,744.20 and 227,978.80 is: 341,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,162.80 : 349,744.20 = 227,978.80 : x
  2. Step 2: Convert to fraction form
    233,162.80/349,744.20 = 227,978.80/x
  3. Step 3: Cross multiply
    233,162.80x = 349,744.20 × 227,978.80
  4. Step 4: Simplify right side
    233,162.80x = 79,734,263,022.96
  5. Step 5: Solve for x
    x = 79,734,263,022.96/233,162.80
  6. Step 6: Final answer
    x = 341,968.20

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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.