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Finding the Fourth Proportional to 159,105.40, 219,561.24 and 86,506

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Solution

The fourth proportional to 159,105.40, 219,561.24 and 86,506 is: 119,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,105.40 : 219,561.24 = 86,506 : x
  2. Step 2: Convert to fraction form
    159,105.40/219,561.24 = 86,506/x
  3. Step 3: Cross multiply
    159,105.40x = 219,561.24 × 86,506
  4. Step 4: Simplify right side
    159,105.40x = 18,993,364,627.44
  5. Step 5: Solve for x
    x = 18,993,364,627.44/159,105.40
  6. Step 6: Final answer
    x = 119,375.99

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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.