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Finding the Fourth Proportional to 137,014.80, 205,327.80 and 101,196.60

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Solution

The fourth proportional to 137,014.80, 205,327.80 and 101,196.60 is: 151,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,014.80 : 205,327.80 = 101,196.60 : x
  2. Step 2: Convert to fraction form
    137,014.80/205,327.80 = 101,196.60/x
  3. Step 3: Cross multiply
    137,014.80x = 205,327.80 × 101,196.60
  4. Step 4: Simplify right side
    137,014.80x = 20,778,475,245.48
  5. Step 5: Solve for x
    x = 20,778,475,245.48/137,014.80
  6. Step 6: Final answer
    x = 151,651.32

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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.