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Finding the Fourth Proportional to 225,570.82, 338,364.42 and 75,816.10

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Solution

The fourth proportional to 225,570.82, 338,364.42 and 75,816.10 is: 113,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,570.82 : 338,364.42 = 75,816.10 : x
  2. Step 2: Convert to fraction form
    225,570.82/338,364.42 = 75,816.10/x
  3. Step 3: Cross multiply
    225,570.82x = 338,364.42 × 75,816.10
  4. Step 4: Simplify right side
    225,570.82x = 25,653,470,703.16
  5. Step 5: Solve for x
    x = 25,653,470,703.16/225,570.82
  6. Step 6: Final answer
    x = 113,726.90

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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.