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Finding the Fourth Proportional to 133,013.90, 199,530.45 and 80,309.90

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Solution

The fourth proportional to 133,013.90, 199,530.45 and 80,309.90 is: 120,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,013.90 : 199,530.45 = 80,309.90 : x
  2. Step 2: Convert to fraction form
    133,013.90/199,530.45 = 80,309.90/x
  3. Step 3: Cross multiply
    133,013.90x = 199,530.45 × 80,309.90
  4. Step 4: Simplify right side
    133,013.90x = 16,024,270,486.46
  5. Step 5: Solve for x
    x = 16,024,270,486.46/133,013.90
  6. Step 6: Final answer
    x = 120,470.65

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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.