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Finding the Fourth Proportional to 106,362.32, 146,781 and 58,617.41

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Solution

The fourth proportional to 106,362.32, 146,781 and 58,617.41 is: 80,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,362.32 : 146,781 = 58,617.41 : x
  2. Step 2: Convert to fraction form
    106,362.32/146,781 = 58,617.41/x
  3. Step 3: Cross multiply
    106,362.32x = 146,781 × 58,617.41
  4. Step 4: Simplify right side
    106,362.32x = 8,603,921,323.31
  5. Step 5: Solve for x
    x = 8,603,921,323.31/106,362.32
  6. Step 6: Final answer
    x = 80,892.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.