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Finding the Fourth Proportional to 137,054.60, 205,452.30 and 80,937.80

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Solution

The fourth proportional to 137,054.60, 205,452.30 and 80,937.80 is: 121,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,054.60 : 205,452.30 = 80,937.80 : x
  2. Step 2: Convert to fraction form
    137,054.60/205,452.30 = 80,937.80/x
  3. Step 3: Cross multiply
    137,054.60x = 205,452.30 × 80,937.80
  4. Step 4: Simplify right side
    137,054.60x = 16,628,857,166.94
  5. Step 5: Solve for x
    x = 16,628,857,166.94/137,054.60
  6. Step 6: Final answer
    x = 121,330.16

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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.