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Finding the Fourth Proportional to 106,321.62, 159,581.25 and 53,768.82

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Solution

The fourth proportional to 106,321.62, 159,581.25 and 53,768.82 is: 80,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,321.62 : 159,581.25 = 53,768.82 : x
  2. Step 2: Convert to fraction form
    106,321.62/159,581.25 = 53,768.82/x
  3. Step 3: Cross multiply
    106,321.62x = 159,581.25 × 53,768.82
  4. Step 4: Simplify right side
    106,321.62x = 8,580,495,506.63
  5. Step 5: Solve for x
    x = 8,580,495,506.63/106,321.62
  6. Step 6: Final answer
    x = 80,703.21

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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.