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Finding the Fourth Proportional to 194,108, 267,719.46 and 170,194.64

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Solution

The fourth proportional to 194,108, 267,719.46 and 170,194.64 is: 234,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,108 : 267,719.46 = 170,194.64 : x
  2. Step 2: Convert to fraction form
    194,108/267,719.46 = 170,194.64/x
  3. Step 3: Cross multiply
    194,108x = 267,719.46 × 170,194.64
  4. Step 4: Simplify right side
    194,108x = 45,564,417,115.69
  5. Step 5: Solve for x
    x = 45,564,417,115.69/194,108
  6. Step 6: Final answer
    x = 234,737.45

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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.