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Finding the Fourth Proportional to 133,053.80, 199,311.90 and 82,980.20

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Solution

The fourth proportional to 133,053.80, 199,311.90 and 82,980.20 is: 124,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,053.80 : 199,311.90 = 82,980.20 : x
  2. Step 2: Convert to fraction form
    133,053.80/199,311.90 = 82,980.20/x
  3. Step 3: Cross multiply
    133,053.80x = 199,311.90 × 82,980.20
  4. Step 4: Simplify right side
    133,053.80x = 16,538,941,324.38
  5. Step 5: Solve for x
    x = 16,538,941,324.38/133,053.80
  6. Step 6: Final answer
    x = 124,302.66

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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.