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Finding the Fourth Proportional to 194,766.71, 292,193.82 and 61,654.95

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Solution

The fourth proportional to 194,766.71, 292,193.82 and 61,654.95 is: 92,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,766.71 : 292,193.82 = 61,654.95 : x
  2. Step 2: Convert to fraction form
    194,766.71/292,193.82 = 61,654.95/x
  3. Step 3: Cross multiply
    194,766.71x = 292,193.82 × 61,654.95
  4. Step 4: Simplify right side
    194,766.71x = 18,015,195,362.41
  5. Step 5: Solve for x
    x = 18,015,195,362.41/194,766.71
  6. Step 6: Final answer
    x = 92,496.28

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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.