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Finding the Fourth Proportional to 149,490.96, 206,232.72 and 95,014

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Solution

The fourth proportional to 149,490.96, 206,232.72 and 95,014 is: 131,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,490.96 : 206,232.72 = 95,014 : x
  2. Step 2: Convert to fraction form
    149,490.96/206,232.72 = 95,014/x
  3. Step 3: Cross multiply
    149,490.96x = 206,232.72 × 95,014
  4. Step 4: Simplify right side
    149,490.96x = 19,594,995,658.08
  5. Step 5: Solve for x
    x = 19,594,995,658.08/149,490.96
  6. Step 6: Final answer
    x = 131,078.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.