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Finding the Fourth Proportional to 140,138.10, 209,976.30 and 80,870.40

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Solution

The fourth proportional to 140,138.10, 209,976.30 and 80,870.40 is: 121,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,138.10 : 209,976.30 = 80,870.40 : x
  2. Step 2: Convert to fraction form
    140,138.10/209,976.30 = 80,870.40/x
  3. Step 3: Cross multiply
    140,138.10x = 209,976.30 × 80,870.40
  4. Step 4: Simplify right side
    140,138.10x = 16,980,867,371.52
  5. Step 5: Solve for x
    x = 16,980,867,371.52/140,138.10
  6. Step 6: Final answer
    x = 121,172.38

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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.