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Finding the Fourth Proportional to 206,038.62, 284,339.61 and 115,394.40

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Solution

The fourth proportional to 206,038.62, 284,339.61 and 115,394.40 is: 159,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,038.62 : 284,339.61 = 115,394.40 : x
  2. Step 2: Convert to fraction form
    206,038.62/284,339.61 = 115,394.40/x
  3. Step 3: Cross multiply
    206,038.62x = 284,339.61 × 115,394.40
  4. Step 4: Simplify right side
    206,038.62x = 32,811,198,692.18
  5. Step 5: Solve for x
    x = 32,811,198,692.18/206,038.62
  6. Step 6: Final answer
    x = 159,247.81

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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.