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Finding the Fourth Proportional to 341,996.52, 513,020.56 and 102,091.48

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Solution

The fourth proportional to 341,996.52, 513,020.56 and 102,091.48 is: 153,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,996.52 : 513,020.56 = 102,091.48 : x
  2. Step 2: Convert to fraction form
    341,996.52/513,020.56 = 102,091.48/x
  3. Step 3: Cross multiply
    341,996.52x = 513,020.56 × 102,091.48
  4. Step 4: Simplify right side
    341,996.52x = 52,375,028,240.83
  5. Step 5: Solve for x
    x = 52,375,028,240.83/341,996.52
  6. Step 6: Final answer
    x = 153,144.92

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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.