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Finding the Fourth Proportional to 194,151, 267,876 and 113,598.30

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Solution

The fourth proportional to 194,151, 267,876 and 113,598.30 is: 156,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,151 : 267,876 = 113,598.30 : x
  2. Step 2: Convert to fraction form
    194,151/267,876 = 113,598.30/x
  3. Step 3: Cross multiply
    194,151x = 267,876 × 113,598.30
  4. Step 4: Simplify right side
    194,151x = 30,430,258,210.80
  5. Step 5: Solve for x
    x = 30,430,258,210.80/194,151
  6. Step 6: Final answer
    x = 156,735.01

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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.