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Finding the Fourth Proportional to 226,007.46, 338,598 and 105,843.96

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Solution

The fourth proportional to 226,007.46, 338,598 and 105,843.96 is: 158,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,007.46 : 338,598 = 105,843.96 : x
  2. Step 2: Convert to fraction form
    226,007.46/338,598 = 105,843.96/x
  3. Step 3: Cross multiply
    226,007.46x = 338,598 × 105,843.96
  4. Step 4: Simplify right side
    226,007.46x = 35,838,553,168.08
  5. Step 5: Solve for x
    x = 35,838,553,168.08/226,007.46
  6. Step 6: Final answer
    x = 158,572.43

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1.5x scale

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.