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Finding the Fourth Proportional to 267,532.68, 369,199.26 and 146,685

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Solution

The fourth proportional to 267,532.68, 369,199.26 and 146,685 is: 202,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,532.68 : 369,199.26 = 146,685 : x
  2. Step 2: Convert to fraction form
    267,532.68/369,199.26 = 146,685/x
  3. Step 3: Cross multiply
    267,532.68x = 369,199.26 × 146,685
  4. Step 4: Simplify right side
    267,532.68x = 54,155,993,453.10
  5. Step 5: Solve for x
    x = 54,155,993,453.10/267,532.68
  6. Step 6: Final answer
    x = 202,427.58

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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.