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Finding the Fourth Proportional to 194,101.71, 267,863.13 and 108,064.46

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Solution

The fourth proportional to 194,101.71, 267,863.13 and 108,064.46 is: 149,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,101.71 : 267,863.13 = 108,064.46 : x
  2. Step 2: Convert to fraction form
    194,101.71/267,863.13 = 108,064.46/x
  3. Step 3: Cross multiply
    194,101.71x = 267,863.13 × 108,064.46
  4. Step 4: Simplify right side
    194,101.71x = 28,946,483,158.04
  5. Step 5: Solve for x
    x = 28,946,483,158.04/194,101.71
  6. Step 6: Final answer
    x = 149,130.49

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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.