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Finding the Fourth Proportional to 205,287.10, 307,866.65 and 80,666.30

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Solution

The fourth proportional to 205,287.10, 307,866.65 and 80,666.30 is: 120,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,287.10 : 307,866.65 = 80,666.30 : x
  2. Step 2: Convert to fraction form
    205,287.10/307,866.65 = 80,666.30/x
  3. Step 3: Cross multiply
    205,287.10x = 307,866.65 × 80,666.30
  4. Step 4: Simplify right side
    205,287.10x = 24,834,463,548.90
  5. Step 5: Solve for x
    x = 24,834,463,548.90/205,287.10
  6. Step 6: Final answer
    x = 120,974.30

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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.