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Finding the Fourth Proportional to 137,797.55, 206,709.33 and 53,564.13

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Solution

The fourth proportional to 137,797.55, 206,709.33 and 53,564.13 is: 80,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797.55 : 206,709.33 = 53,564.13 : x
  2. Step 2: Convert to fraction form
    137,797.55/206,709.33 = 53,564.13/x
  3. Step 3: Cross multiply
    137,797.55x = 206,709.33 × 53,564.13
  4. Step 4: Simplify right side
    137,797.55x = 11,072,205,424.33
  5. Step 5: Solve for x
    x = 11,072,205,424.33/137,797.55
  6. Step 6: Final answer
    x = 80,351.25

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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.