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Finding the Fourth Proportional to 264,102.90, 396,010.98 and 119,929.56

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Solution

The fourth proportional to 264,102.90, 396,010.98 and 119,929.56 is: 179,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,102.90 : 396,010.98 = 119,929.56 : x
  2. Step 2: Convert to fraction form
    264,102.90/396,010.98 = 119,929.56/x
  3. Step 3: Cross multiply
    264,102.90x = 396,010.98 × 119,929.56
  4. Step 4: Simplify right side
    264,102.90x = 47,493,422,886.39
  5. Step 5: Solve for x
    x = 47,493,422,886.39/264,102.90
  6. Step 6: Final answer
    x = 179,829.23

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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.