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Finding the Fourth Proportional to 148,568.98, 205,024 and 80,585.79

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Solution

The fourth proportional to 148,568.98, 205,024 and 80,585.79 is: 111,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,568.98 : 205,024 = 80,585.79 : x
  2. Step 2: Convert to fraction form
    148,568.98/205,024 = 80,585.79/x
  3. Step 3: Cross multiply
    148,568.98x = 205,024 × 80,585.79
  4. Step 4: Simplify right side
    148,568.98x = 16,522,021,008.96
  5. Step 5: Solve for x
    x = 16,522,021,008.96/148,568.98
  6. Step 6: Final answer
    x = 111,207.74

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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.