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Finding the Fourth Proportional to 204,752.74, 307,129.14 and 80,006.26

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Solution

The fourth proportional to 204,752.74, 307,129.14 and 80,006.26 is: 120,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,752.74 : 307,129.14 = 80,006.26 : x
  2. Step 2: Convert to fraction form
    204,752.74/307,129.14 = 80,006.26/x
  3. Step 3: Cross multiply
    204,752.74x = 307,129.14 × 80,006.26
  4. Step 4: Simplify right side
    204,752.74x = 24,572,253,828.42
  5. Step 5: Solve for x
    x = 24,572,253,828.42/204,752.74
  6. Step 6: Final answer
    x = 120,009.40

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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.