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Finding the Fourth Proportional to 266,414.37, 367,657.14 and 145,563.14

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Solution

The fourth proportional to 266,414.37, 367,657.14 and 145,563.14 is: 200,880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,414.37 : 367,657.14 = 145,563.14 : x
  2. Step 2: Convert to fraction form
    266,414.37/367,657.14 = 145,563.14/x
  3. Step 3: Cross multiply
    266,414.37x = 367,657.14 × 145,563.14
  4. Step 4: Simplify right side
    266,414.37x = 53,517,329,206.82
  5. Step 5: Solve for x
    x = 53,517,329,206.82/266,414.37
  6. Step 6: Final answer
    x = 200,880.04

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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.