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Finding the Fourth Proportional to 173,206.70, 259,810.05 and 137,777.30

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Solution

The fourth proportional to 173,206.70, 259,810.05 and 137,777.30 is: 206,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,206.70 : 259,810.05 = 137,777.30 : x
  2. Step 2: Convert to fraction form
    173,206.70/259,810.05 = 137,777.30/x
  3. Step 3: Cross multiply
    173,206.70x = 259,810.05 × 137,777.30
  4. Step 4: Simplify right side
    173,206.70x = 35,795,927,201.87
  5. Step 5: Solve for x
    x = 35,795,927,201.87/173,206.70
  6. Step 6: Final answer
    x = 206,665.95

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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.