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Finding the Fourth Proportional to 225,866.98, 338,348.70 and 135,859.98

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Solution

The fourth proportional to 225,866.98, 338,348.70 and 135,859.98 is: 203,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,866.98 : 338,348.70 = 135,859.98 : x
  2. Step 2: Convert to fraction form
    225,866.98/338,348.70 = 135,859.98/x
  3. Step 3: Cross multiply
    225,866.98x = 338,348.70 × 135,859.98
  4. Step 4: Simplify right side
    225,866.98x = 45,968,047,615.03
  5. Step 5: Solve for x
    x = 45,968,047,615.03/225,866.98
  6. Step 6: Final answer
    x = 203,518.23

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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.