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Finding the Fourth Proportional to 100,400.49, 150,575.54 and 41,252.49

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Solution

The fourth proportional to 100,400.49, 150,575.54 and 41,252.49 is: 61,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,400.49 : 150,575.54 = 41,252.49 : x
  2. Step 2: Convert to fraction form
    100,400.49/150,575.54 = 41,252.49/x
  3. Step 3: Cross multiply
    100,400.49x = 150,575.54 × 41,252.49
  4. Step 4: Simplify right side
    100,400.49x = 6,211,615,751.83
  5. Step 5: Solve for x
    x = 6,211,615,751.83/100,400.49
  6. Step 6: Final answer
    x = 61,868.38

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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.