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Finding the Fourth Proportional to 225,852.21, 338,186.48 and 158,930.01

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Solution

The fourth proportional to 225,852.21, 338,186.48 and 158,930.01 is: 237,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,852.21 : 338,186.48 = 158,930.01 : x
  2. Step 2: Convert to fraction form
    225,852.21/338,186.48 = 158,930.01/x
  3. Step 3: Cross multiply
    225,852.21x = 338,186.48 × 158,930.01
  4. Step 4: Simplify right side
    225,852.21x = 53,747,979,853.61
  5. Step 5: Solve for x
    x = 53,747,979,853.61/225,852.21
  6. Step 6: Final answer
    x = 237,978.54

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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.