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Finding the Fourth Proportional to 106,162.32, 159,238.22 and 39,597.26

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Solution

The fourth proportional to 106,162.32, 159,238.22 and 39,597.26 is: 59,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,162.32 : 159,238.22 = 39,597.26 : x
  2. Step 2: Convert to fraction form
    106,162.32/159,238.22 = 39,597.26/x
  3. Step 3: Cross multiply
    106,162.32x = 159,238.22 × 39,597.26
  4. Step 4: Simplify right side
    106,162.32x = 6,305,397,199.28
  5. Step 5: Solve for x
    x = 6,305,397,199.28/106,162.32
  6. Step 6: Final answer
    x = 59,393.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.