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Finding the Fourth Proportional to 146,138.90, 201,651.45 and 81,600.26

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Solution

The fourth proportional to 146,138.90, 201,651.45 and 81,600.26 is: 112,597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,138.90 : 201,651.45 = 81,600.26 : x
  2. Step 2: Convert to fraction form
    146,138.90/201,651.45 = 81,600.26/x
  3. Step 3: Cross multiply
    146,138.90x = 201,651.45 × 81,600.26
  4. Step 4: Simplify right side
    146,138.90x = 16,454,810,749.38
  5. Step 5: Solve for x
    x = 16,454,810,749.38/146,138.90
  6. Step 6: Final answer
    x = 112,597.06

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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.