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Finding the Fourth Proportional to 204,645.90, 307,002.45 and 64,370.70

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Solution

The fourth proportional to 204,645.90, 307,002.45 and 64,370.70 is: 96,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,645.90 : 307,002.45 = 64,370.70 : x
  2. Step 2: Convert to fraction form
    204,645.90/307,002.45 = 64,370.70/x
  3. Step 3: Cross multiply
    204,645.90x = 307,002.45 × 64,370.70
  4. Step 4: Simplify right side
    204,645.90x = 19,761,962,608.22
  5. Step 5: Solve for x
    x = 19,761,962,608.22/204,645.90
  6. Step 6: Final answer
    x = 96,566.62

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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.