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Finding the Fourth Proportional to 137,101.60, 205,652.40 and 81,805.60

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Solution

The fourth proportional to 137,101.60, 205,652.40 and 81,805.60 is: 122,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,101.60 : 205,652.40 = 81,805.60 : x
  2. Step 2: Convert to fraction form
    137,101.60/205,652.40 = 81,805.60/x
  3. Step 3: Cross multiply
    137,101.60x = 205,652.40 × 81,805.60
  4. Step 4: Simplify right side
    137,101.60x = 16,823,517,973.44
  5. Step 5: Solve for x
    x = 16,823,517,973.44/137,101.60
  6. Step 6: Final answer
    x = 122,708.40

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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.