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Finding the Fourth Proportional to 225,816.16, 338,855.46 and 101,157.16

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Solution

The fourth proportional to 225,816.16, 338,855.46 and 101,157.16 is: 151,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,816.16 : 338,855.46 = 101,157.16 : x
  2. Step 2: Convert to fraction form
    225,816.16/338,855.46 = 101,157.16/x
  3. Step 3: Cross multiply
    225,816.16x = 338,855.46 × 101,157.16
  4. Step 4: Simplify right side
    225,816.16x = 34,277,654,207.60
  5. Step 5: Solve for x
    x = 34,277,654,207.60/225,816.16
  6. Step 6: Final answer
    x = 151,794.52

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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.