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Finding the Fourth Proportional to 137,208.83, 205,694.96 and 53,028.05

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Solution

The fourth proportional to 137,208.83, 205,694.96 and 53,028.05 is: 79,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,208.83 : 205,694.96 = 53,028.05 : x
  2. Step 2: Convert to fraction form
    137,208.83/205,694.96 = 53,028.05/x
  3. Step 3: Cross multiply
    137,208.83x = 205,694.96 × 53,028.05
  4. Step 4: Simplify right side
    137,208.83x = 10,907,601,330.01
  5. Step 5: Solve for x
    x = 10,907,601,330.01/137,208.83
  6. Step 6: Final answer
    x = 79,496.35

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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.