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Finding the Fourth Proportional to 150,102.90, 225,181.64 and 71,216.39

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Solution

The fourth proportional to 150,102.90, 225,181.64 and 71,216.39 is: 106,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,102.90 : 225,181.64 = 71,216.39 : x
  2. Step 2: Convert to fraction form
    150,102.90/225,181.64 = 71,216.39/x
  3. Step 3: Cross multiply
    150,102.90x = 225,181.64 × 71,216.39
  4. Step 4: Simplify right side
    150,102.90x = 16,036,623,701.95
  5. Step 5: Solve for x
    x = 16,036,623,701.95/150,102.90
  6. Step 6: Final answer
    x = 106,837.53

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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.