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Finding the Fourth Proportional to 106,102.57, 146,426.18 and 58,357.66

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Solution

The fourth proportional to 106,102.57, 146,426.18 and 58,357.66 is: 80,536.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,102.57 : 146,426.18 = 58,357.66 : x
  2. Step 2: Convert to fraction form
    106,102.57/146,426.18 = 58,357.66/x
  3. Step 3: Cross multiply
    106,102.57x = 146,426.18 × 58,357.66
  4. Step 4: Simplify right side
    106,102.57x = 8,545,089,227.54
  5. Step 5: Solve for x
    x = 8,545,089,227.54/106,102.57
  6. Step 6: Final answer
    x = 80,536.12

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