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Finding the Fourth Proportional to 267,002, 368,463.84 and 147,770

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Solution

The fourth proportional to 267,002, 368,463.84 and 147,770 is: 203,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,002 : 368,463.84 = 147,770 : x
  2. Step 2: Convert to fraction form
    267,002/368,463.84 = 147,770/x
  3. Step 3: Cross multiply
    267,002x = 368,463.84 × 147,770
  4. Step 4: Simplify right side
    267,002x = 54,447,901,636.80
  5. Step 5: Solve for x
    x = 54,447,901,636.80/267,002
  6. Step 6: Final answer
    x = 203,923.20

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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.