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Finding the Fourth Proportional to 137,006.93, 205,627.04 and 53,959.25

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Solution

The fourth proportional to 137,006.93, 205,627.04 and 53,959.25 is: 80,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,006.93 : 205,627.04 = 53,959.25 : x
  2. Step 2: Convert to fraction form
    137,006.93/205,627.04 = 53,959.25/x
  3. Step 3: Cross multiply
    137,006.93x = 205,627.04 × 53,959.25
  4. Step 4: Simplify right side
    137,006.93x = 11,095,480,858.12
  5. Step 5: Solve for x
    x = 11,095,480,858.12/137,006.93
  6. Step 6: Final answer
    x = 80,984.81

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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.