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Finding the Fourth Proportional to 267,202, 400,453.08 and 148,929.04

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Solution

The fourth proportional to 267,202, 400,453.08 and 148,929.04 is: 223,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,202 : 400,453.08 = 148,929.04 : x
  2. Step 2: Convert to fraction form
    267,202/400,453.08 = 148,929.04/x
  3. Step 3: Cross multiply
    267,202x = 400,453.08 × 148,929.04
  4. Step 4: Simplify right side
    267,202x = 59,639,092,769.44
  5. Step 5: Solve for x
    x = 59,639,092,769.44/267,202
  6. Step 6: Final answer
    x = 223,198.53

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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.