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Finding the Fourth Proportional to 92,201.63, 138,335.24 and 45,487.31

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Solution

The fourth proportional to 92,201.63, 138,335.24 and 45,487.31 is: 68,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,201.63 : 138,335.24 = 45,487.31 : x
  2. Step 2: Convert to fraction form
    92,201.63/138,335.24 = 45,487.31/x
  3. Step 3: Cross multiply
    92,201.63x = 138,335.24 × 45,487.31
  4. Step 4: Simplify right side
    92,201.63x = 6,292,497,367.85
  5. Step 5: Solve for x
    x = 6,292,497,367.85/92,201.63
  6. Step 6: Final answer
    x = 68,247.14

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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.