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Finding the Fourth Proportional to 159,293.97, 238,973.76 and 133,181.19

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Solution

The fourth proportional to 159,293.97, 238,973.76 and 133,181.19 is: 199,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,293.97 : 238,973.76 = 133,181.19 : x
  2. Step 2: Convert to fraction form
    159,293.97/238,973.76 = 133,181.19/x
  3. Step 3: Cross multiply
    159,293.97x = 238,973.76 × 133,181.19
  4. Step 4: Simplify right side
    159,293.97x = 31,826,809,735.57
  5. Step 5: Solve for x
    x = 31,826,809,735.57/159,293.97
  6. Step 6: Final answer
    x = 199,799.21

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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.