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Finding the Fourth Proportional to 267,857.76, 369,698.40 and 154,665.12

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Solution

The fourth proportional to 267,857.76, 369,698.40 and 154,665.12 is: 213,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,857.76 : 369,698.40 = 154,665.12 : x
  2. Step 2: Convert to fraction form
    267,857.76/369,698.40 = 154,665.12/x
  3. Step 3: Cross multiply
    267,857.76x = 369,698.40 × 154,665.12
  4. Step 4: Simplify right side
    267,857.76x = 57,179,447,399.81
  5. Step 5: Solve for x
    x = 57,179,447,399.81/267,857.76
  6. Step 6: Final answer
    x = 213,469.45

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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.