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Finding the Fourth Proportional to 225,594.91, 338,354.38 and 105,664.42

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Solution

The fourth proportional to 225,594.91, 338,354.38 and 105,664.42 is: 158,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,594.91 : 338,354.38 = 105,664.42 : x
  2. Step 2: Convert to fraction form
    225,594.91/338,354.38 = 105,664.42/x
  3. Step 3: Cross multiply
    225,594.91x = 338,354.38 × 105,664.42
  4. Step 4: Simplify right side
    225,594.91x = 35,752,019,317.16
  5. Step 5: Solve for x
    x = 35,752,019,317.16/225,594.91
  6. Step 6: Final answer
    x = 158,478.84

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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.