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Finding the Fourth Proportional to 99,791.60, 149,687.40 and 97,823.30

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Solution

The fourth proportional to 99,791.60, 149,687.40 and 97,823.30 is: 146,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,791.60 : 149,687.40 = 97,823.30 : x
  2. Step 2: Convert to fraction form
    99,791.60/149,687.40 = 97,823.30/x
  3. Step 3: Cross multiply
    99,791.60x = 149,687.40 × 97,823.30
  4. Step 4: Simplify right side
    99,791.60x = 14,642,915,436.42
  5. Step 5: Solve for x
    x = 14,642,915,436.42/99,791.60
  6. Step 6: Final answer
    x = 146,734.95

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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.