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Finding the Fourth Proportional to 267,566.84, 401,409.42 and 90,068

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Solution

The fourth proportional to 267,566.84, 401,409.42 and 90,068 is: 135,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,566.84 : 401,409.42 = 90,068 : x
  2. Step 2: Convert to fraction form
    267,566.84/401,409.42 = 90,068/x
  3. Step 3: Cross multiply
    267,566.84x = 401,409.42 × 90,068
  4. Step 4: Simplify right side
    267,566.84x = 36,154,143,640.56
  5. Step 5: Solve for x
    x = 36,154,143,640.56/267,566.84
  6. Step 6: Final answer
    x = 135,121.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.