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Finding the Fourth Proportional to 100,402.52, 150,578.50 and 41,254.52

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Solution

The fourth proportional to 100,402.52, 150,578.50 and 41,254.52 is: 61,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,402.52 : 150,578.50 = 41,254.52 : x
  2. Step 2: Convert to fraction form
    100,402.52/150,578.50 = 41,254.52/x
  3. Step 3: Cross multiply
    100,402.52x = 150,578.50 × 41,254.52
  4. Step 4: Simplify right side
    100,402.52x = 6,212,043,739.82
  5. Step 5: Solve for x
    x = 6,212,043,739.82/100,402.52
  6. Step 6: Final answer
    x = 61,871.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.