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Finding the Fourth Proportional to 146,324.22, 201,924.50 and 81,793.14

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Solution

The fourth proportional to 146,324.22, 201,924.50 and 81,793.14 is: 112,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,324.22 : 201,924.50 = 81,793.14 : x
  2. Step 2: Convert to fraction form
    146,324.22/201,924.50 = 81,793.14/x
  3. Step 3: Cross multiply
    146,324.22x = 201,924.50 × 81,793.14
  4. Step 4: Simplify right side
    146,324.22x = 16,516,038,897.93
  5. Step 5: Solve for x
    x = 16,516,038,897.93/146,324.22
  6. Step 6: Final answer
    x = 112,872.90

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