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Finding the Fourth Proportional to 153,481.44, 230,255.10 and 86,953.44

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Solution

The fourth proportional to 153,481.44, 230,255.10 and 86,953.44 is: 130,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,481.44 : 230,255.10 = 86,953.44 : x
  2. Step 2: Convert to fraction form
    153,481.44/230,255.10 = 86,953.44/x
  3. Step 3: Cross multiply
    153,481.44x = 230,255.10 × 86,953.44
  4. Step 4: Simplify right side
    153,481.44x = 20,021,473,022.54
  5. Step 5: Solve for x
    x = 20,021,473,022.54/153,481.44
  6. Step 6: Final answer
    x = 130,448.82

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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.