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Finding the Fourth Proportional to 229,544.80, 343,345.20 and 206,022.40

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Solution

The fourth proportional to 229,544.80, 343,345.20 and 206,022.40 is: 308,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,544.80 : 343,345.20 = 206,022.40 : x
  2. Step 2: Convert to fraction form
    229,544.80/343,345.20 = 206,022.40/x
  3. Step 3: Cross multiply
    229,544.80x = 343,345.20 × 206,022.40
  4. Step 4: Simplify right side
    229,544.80x = 70,736,802,132.48
  5. Step 5: Solve for x
    x = 70,736,802,132.48/229,544.80
  6. Step 6: Final answer
    x = 308,161.20

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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.