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Finding the Fourth Proportional to 100,238.34, 150,357.45 and 40,266.81

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Solution

The fourth proportional to 100,238.34, 150,357.45 and 40,266.81 is: 60,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,238.34 : 150,357.45 = 40,266.81 : x
  2. Step 2: Convert to fraction form
    100,238.34/150,357.45 = 40,266.81/x
  3. Step 3: Cross multiply
    100,238.34x = 150,357.45 × 40,266.81
  4. Step 4: Simplify right side
    100,238.34x = 6,054,414,871.23
  5. Step 5: Solve for x
    x = 6,054,414,871.23/100,238.34
  6. Step 6: Final answer
    x = 60,400.19

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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.