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Finding the Fourth Proportional to 133,092.90, 199,639.35 and 109,473.30

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Solution

The fourth proportional to 133,092.90, 199,639.35 and 109,473.30 is: 164,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,092.90 : 199,639.35 = 109,473.30 : x
  2. Step 2: Convert to fraction form
    133,092.90/199,639.35 = 109,473.30/x
  3. Step 3: Cross multiply
    133,092.90x = 199,639.35 × 109,473.30
  4. Step 4: Simplify right side
    133,092.90x = 21,855,178,454.36
  5. Step 5: Solve for x
    x = 21,855,178,454.36/133,092.90
  6. Step 6: Final answer
    x = 164,209.95

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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.