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Finding the Fourth Proportional to 100,235.34, 150,451.43 and 75,336.35

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Solution

The fourth proportional to 100,235.34, 150,451.43 and 75,336.35 is: 113,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,235.34 : 150,451.43 = 75,336.35 : x
  2. Step 2: Convert to fraction form
    100,235.34/150,451.43 = 75,336.35/x
  3. Step 3: Cross multiply
    100,235.34x = 150,451.43 × 75,336.35
  4. Step 4: Simplify right side
    100,235.34x = 11,334,460,459.54
  5. Step 5: Solve for x
    x = 11,334,460,459.54/100,235.34
  6. Step 6: Final answer
    x = 113,078.49

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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.