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Finding the Fourth Proportional to 365,266.86, 504,068.95 and 204,121.91

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Solution

The fourth proportional to 365,266.86, 504,068.95 and 204,121.91 is: 281,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,266.86 : 504,068.95 = 204,121.91 : x
  2. Step 2: Convert to fraction form
    365,266.86/504,068.95 = 204,121.91/x
  3. Step 3: Cross multiply
    365,266.86x = 504,068.95 × 204,121.91
  4. Step 4: Simplify right side
    365,266.86x = 102,891,517,798.62
  5. Step 5: Solve for x
    x = 102,891,517,798.62/365,266.86
  6. Step 6: Final answer
    x = 281,688.62

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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.