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Finding the Fourth Proportional to 194,976, 292,462.56 and 54,734.64

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Solution

The fourth proportional to 194,976, 292,462.56 and 54,734.64 is: 82,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,976 : 292,462.56 = 54,734.64 : x
  2. Step 2: Convert to fraction form
    194,976/292,462.56 = 54,734.64/x
  3. Step 3: Cross multiply
    194,976x = 292,462.56 × 54,734.64
  4. Step 4: Simplify right side
    194,976x = 16,007,832,935.08
  5. Step 5: Solve for x
    x = 16,007,832,935.08/194,976
  6. Step 6: Final answer
    x = 82,101.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.