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Finding the Fourth Proportional to 105,458.99, 158,189.07 and 43,129.49

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Solution

The fourth proportional to 105,458.99, 158,189.07 and 43,129.49 is: 64,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,458.99 : 158,189.07 = 43,129.49 : x
  2. Step 2: Convert to fraction form
    105,458.99/158,189.07 = 43,129.49/x
  3. Step 3: Cross multiply
    105,458.99x = 158,189.07 × 43,129.49
  4. Step 4: Simplify right side
    105,458.99x = 6,822,613,121.73
  5. Step 5: Solve for x
    x = 6,822,613,121.73/105,458.99
  6. Step 6: Final answer
    x = 64,694.47

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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.