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Finding the Fourth Proportional to 137,003.25, 205,505.28 and 53,897.25

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Solution

The fourth proportional to 137,003.25, 205,505.28 and 53,897.25 is: 80,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,003.25 : 205,505.28 = 53,897.25 : x
  2. Step 2: Convert to fraction form
    137,003.25/205,505.28 = 53,897.25/x
  3. Step 3: Cross multiply
    137,003.25x = 205,505.28 × 53,897.25
  4. Step 4: Simplify right side
    137,003.25x = 11,076,169,452.48
  5. Step 5: Solve for x
    x = 11,076,169,452.48/137,003.25
  6. Step 6: Final answer
    x = 80,846.03

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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.