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Finding the Fourth Proportional to 201,826, 278,056.20 and 159,369.04

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Solution

The fourth proportional to 201,826, 278,056.20 and 159,369.04 is: 219,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,826 : 278,056.20 = 159,369.04 : x
  2. Step 2: Convert to fraction form
    201,826/278,056.20 = 159,369.04/x
  3. Step 3: Cross multiply
    201,826x = 278,056.20 × 159,369.04
  4. Step 4: Simplify right side
    201,826x = 44,313,549,660.05
  5. Step 5: Solve for x
    x = 44,313,549,660.05/201,826
  6. Step 6: Final answer
    x = 219,563.14

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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.