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Finding the Fourth Proportional to 137,209.83, 205,696.45 and 53,029.05

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Solution

The fourth proportional to 137,209.83, 205,696.45 and 53,029.05 is: 79,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,209.83 : 205,696.45 = 53,029.05 : x
  2. Step 2: Convert to fraction form
    137,209.83/205,696.45 = 53,029.05/x
  3. Step 3: Cross multiply
    137,209.83x = 205,696.45 × 53,029.05
  4. Step 4: Simplify right side
    137,209.83x = 10,907,887,331.87
  5. Step 5: Solve for x
    x = 10,907,887,331.87/137,209.83
  6. Step 6: Final answer
    x = 79,497.86

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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.