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Finding the Fourth Proportional to 137,071.60, 205,477.80 and 80,954.80

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Solution

The fourth proportional to 137,071.60, 205,477.80 and 80,954.80 is: 121,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,071.60 : 205,477.80 = 80,954.80 : x
  2. Step 2: Convert to fraction form
    137,071.60/205,477.80 = 80,954.80/x
  3. Step 3: Cross multiply
    137,071.60x = 205,477.80 × 80,954.80
  4. Step 4: Simplify right side
    137,071.60x = 16,634,414,203.44
  5. Step 5: Solve for x
    x = 16,634,414,203.44/137,071.60
  6. Step 6: Final answer
    x = 121,355.66

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1.5x scale

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.