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Finding the Fourth Proportional to 100,342.34, 150,516.74 and 37,178.33

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Solution

The fourth proportional to 100,342.34, 150,516.74 and 37,178.33 is: 55,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,342.34 : 150,516.74 = 37,178.33 : x
  2. Step 2: Convert to fraction form
    100,342.34/150,516.74 = 37,178.33/x
  3. Step 3: Cross multiply
    100,342.34x = 150,516.74 × 37,178.33
  4. Step 4: Simplify right side
    100,342.34x = 5,595,961,499.48
  5. Step 5: Solve for x
    x = 5,595,961,499.48/100,342.34
  6. Step 6: Final answer
    x = 55,768.70

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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.