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Finding the Fourth Proportional to 206,108.18, 284,568.34 and 128,702.05

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Solution

The fourth proportional to 206,108.18, 284,568.34 and 128,702.05 is: 177,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,108.18 : 284,568.34 = 128,702.05 : x
  2. Step 2: Convert to fraction form
    206,108.18/284,568.34 = 128,702.05/x
  3. Step 3: Cross multiply
    206,108.18x = 284,568.34 × 128,702.05
  4. Step 4: Simplify right side
    206,108.18x = 36,624,527,330.98
  5. Step 5: Solve for x
    x = 36,624,527,330.98/206,108.18
  6. Step 6: Final answer
    x = 177,695.65

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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.