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Finding the Fourth Proportional to 106,641.92, 159,774.96 and 95,058.56

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Solution

The fourth proportional to 106,641.92, 159,774.96 and 95,058.56 is: 142,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,641.92 : 159,774.96 = 95,058.56 : x
  2. Step 2: Convert to fraction form
    106,641.92/159,774.96 = 95,058.56/x
  3. Step 3: Cross multiply
    106,641.92x = 159,774.96 × 95,058.56
  4. Step 4: Simplify right side
    106,641.92x = 15,187,977,621.66
  5. Step 5: Solve for x
    x = 15,187,977,621.66/106,641.92
  6. Step 6: Final answer
    x = 142,420.33

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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.