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Finding the Fourth Proportional to 267,646.63, 369,352.34 and 148,414.63

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Solution

The fourth proportional to 267,646.63, 369,352.34 and 148,414.63 is: 204,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,646.63 : 369,352.34 = 148,414.63 : x
  2. Step 2: Convert to fraction form
    267,646.63/369,352.34 = 148,414.63/x
  3. Step 3: Cross multiply
    267,646.63x = 369,352.34 × 148,414.63
  4. Step 4: Simplify right side
    267,646.63x = 54,817,290,880.73
  5. Step 5: Solve for x
    x = 54,817,290,880.73/267,646.63
  6. Step 6: Final answer
    x = 204,812.18

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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.