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Finding the Fourth Proportional to 316,647.97, 475,021.17 and 106,335.11

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Solution

The fourth proportional to 316,647.97, 475,021.17 and 106,335.11 is: 159,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,647.97 : 475,021.17 = 106,335.11 : x
  2. Step 2: Convert to fraction form
    316,647.97/475,021.17 = 106,335.11/x
  3. Step 3: Cross multiply
    316,647.97x = 475,021.17 × 106,335.11
  4. Step 4: Simplify right side
    316,647.97x = 50,511,429,551.83
  5. Step 5: Solve for x
    x = 50,511,429,551.83/316,647.97
  6. Step 6: Final answer
    x = 159,519.20

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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.