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Finding the Fourth Proportional to 133,022.60, 199,205.85 and 88,407.80

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Solution

The fourth proportional to 133,022.60, 199,205.85 and 88,407.80 is: 132,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,022.60 : 199,205.85 = 88,407.80 : x
  2. Step 2: Convert to fraction form
    133,022.60/199,205.85 = 88,407.80/x
  3. Step 3: Cross multiply
    133,022.60x = 199,205.85 × 88,407.80
  4. Step 4: Simplify right side
    133,022.60x = 17,611,350,945.63
  5. Step 5: Solve for x
    x = 17,611,350,945.63/133,022.60
  6. Step 6: Final answer
    x = 132,393.68

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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.