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Finding the Fourth Proportional to 267,839.21, 369,622.65 and 146,991.74

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Solution

The fourth proportional to 267,839.21, 369,622.65 and 146,991.74 is: 202,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,839.21 : 369,622.65 = 146,991.74 : x
  2. Step 2: Convert to fraction form
    267,839.21/369,622.65 = 146,991.74/x
  3. Step 3: Cross multiply
    267,839.21x = 369,622.65 × 146,991.74
  4. Step 4: Simplify right side
    267,839.21x = 54,331,477,825.12
  5. Step 5: Solve for x
    x = 54,331,477,825.12/267,839.21
  6. Step 6: Final answer
    x = 202,851.10

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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.