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Finding the Fourth Proportional to 137,209.70, 205,814.55 and 48,563.30

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Solution

The fourth proportional to 137,209.70, 205,814.55 and 48,563.30 is: 72,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,209.70 : 205,814.55 = 48,563.30 : x
  2. Step 2: Convert to fraction form
    137,209.70/205,814.55 = 48,563.30/x
  3. Step 3: Cross multiply
    137,209.70x = 205,814.55 × 48,563.30
  4. Step 4: Simplify right side
    137,209.70x = 9,995,033,736.02
  5. Step 5: Solve for x
    x = 9,995,033,736.02/137,209.70
  6. Step 6: Final answer
    x = 72,844.95

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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.