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Finding the Fourth Proportional to 229,843.80, 344,960.10 and 103,678.20

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Solution

The fourth proportional to 229,843.80, 344,960.10 and 103,678.20 is: 155,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,843.80 : 344,960.10 = 103,678.20 : x
  2. Step 2: Convert to fraction form
    229,843.80/344,960.10 = 103,678.20/x
  3. Step 3: Cross multiply
    229,843.80x = 344,960.10 × 103,678.20
  4. Step 4: Simplify right side
    229,843.80x = 35,764,842,239.82
  5. Step 5: Solve for x
    x = 35,764,842,239.82/229,843.80
  6. Step 6: Final answer
    x = 155,604.99

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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.