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Finding the Fourth Proportional to 194,794.95, 292,205.40 and 68,419.83

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Solution

The fourth proportional to 194,794.95, 292,205.40 and 68,419.83 is: 102,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,794.95 : 292,205.40 = 68,419.83 : x
  2. Step 2: Convert to fraction form
    194,794.95/292,205.40 = 68,419.83/x
  3. Step 3: Cross multiply
    194,794.95x = 292,205.40 × 68,419.83
  4. Step 4: Simplify right side
    194,794.95x = 19,992,643,793.08
  5. Step 5: Solve for x
    x = 19,992,643,793.08/194,794.95
  6. Step 6: Final answer
    x = 102,634.30

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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.