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Finding the Fourth Proportional to 200,909.04, 301,358.70 and 51,149.66

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Solution

The fourth proportional to 200,909.04, 301,358.70 and 51,149.66 is: 76,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909.04 : 301,358.70 = 51,149.66 : x
  2. Step 2: Convert to fraction form
    200,909.04/301,358.70 = 51,149.66/x
  3. Step 3: Cross multiply
    200,909.04x = 301,358.70 × 51,149.66
  4. Step 4: Simplify right side
    200,909.04x = 15,414,393,536.25
  5. Step 5: Solve for x
    x = 15,414,393,536.25/200,909.04
  6. Step 6: Final answer
    x = 76,723.25

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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.