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Finding the Fourth Proportional to 229,675.80, 343,541.70 and 206,153.40

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Solution

The fourth proportional to 229,675.80, 343,541.70 and 206,153.40 is: 308,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,675.80 : 343,541.70 = 206,153.40 : x
  2. Step 2: Convert to fraction form
    229,675.80/343,541.70 = 206,153.40/x
  3. Step 3: Cross multiply
    229,675.80x = 343,541.70 × 206,153.40
  4. Step 4: Simplify right side
    229,675.80x = 70,822,289,496.78
  5. Step 5: Solve for x
    x = 70,822,289,496.78/229,675.80
  6. Step 6: Final answer
    x = 308,357.65

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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.