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Finding the Fourth Proportional to 139,872.30, 209,870.46 and 73,296.60

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Solution

The fourth proportional to 139,872.30, 209,870.46 and 73,296.60 is: 109,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,872.30 : 209,870.46 = 73,296.60 : x
  2. Step 2: Convert to fraction form
    139,872.30/209,870.46 = 73,296.60/x
  3. Step 3: Cross multiply
    139,872.30x = 209,870.46 × 73,296.60
  4. Step 4: Simplify right side
    139,872.30x = 15,382,791,158.44
  5. Step 5: Solve for x
    x = 15,382,791,158.44/139,872.30
  6. Step 6: Final answer
    x = 109,977.39

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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.