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Finding the Fourth Proportional to 148,687.92, 205,183.80 and 85,024.08

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Solution

The fourth proportional to 148,687.92, 205,183.80 and 85,024.08 is: 117,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,687.92 : 205,183.80 = 85,024.08 : x
  2. Step 2: Convert to fraction form
    148,687.92/205,183.80 = 85,024.08/x
  3. Step 3: Cross multiply
    148,687.92x = 205,183.80 × 85,024.08
  4. Step 4: Simplify right side
    148,687.92x = 17,445,563,825.90
  5. Step 5: Solve for x
    x = 17,445,563,825.90/148,687.92
  6. Step 6: Final answer
    x = 117,330.07

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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.