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Finding the Fourth Proportional to 206,081.60, 284,113.38 and 176,188.04

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Solution

The fourth proportional to 206,081.60, 284,113.38 and 176,188.04 is: 242,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,081.60 : 284,113.38 = 176,188.04 : x
  2. Step 2: Convert to fraction form
    206,081.60/284,113.38 = 176,188.04/x
  3. Step 3: Cross multiply
    206,081.60x = 284,113.38 × 176,188.04
  4. Step 4: Simplify right side
    206,081.60x = 50,057,379,559.98
  5. Step 5: Solve for x
    x = 50,057,379,559.98/206,081.60
  6. Step 6: Final answer
    x = 242,900.77

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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.