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Finding the Fourth Proportional to 133,053.80, 199,580.70 and 80,436.20

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Solution

The fourth proportional to 133,053.80, 199,580.70 and 80,436.20 is: 120,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,053.80 : 199,580.70 = 80,436.20 : x
  2. Step 2: Convert to fraction form
    133,053.80/199,580.70 = 80,436.20/x
  3. Step 3: Cross multiply
    133,053.80x = 199,580.70 × 80,436.20
  4. Step 4: Simplify right side
    133,053.80x = 16,053,513,101.34
  5. Step 5: Solve for x
    x = 16,053,513,101.34/133,053.80
  6. Step 6: Final answer
    x = 120,654.30

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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.