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Finding the Fourth Proportional to 149,324.82, 223,914.24 and 65,156.10

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Solution

The fourth proportional to 149,324.82, 223,914.24 and 65,156.10 is: 97,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,324.82 : 223,914.24 = 65,156.10 : x
  2. Step 2: Convert to fraction form
    149,324.82/223,914.24 = 65,156.10/x
  3. Step 3: Cross multiply
    149,324.82x = 223,914.24 × 65,156.10
  4. Step 4: Simplify right side
    149,324.82x = 14,589,378,612.86
  5. Step 5: Solve for x
    x = 14,589,378,612.86/149,324.82
  6. Step 6: Final answer
    x = 97,702.30

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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.