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Finding the Fourth Proportional to 204,810.60, 307,215.90 and 120,829.80

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Solution

The fourth proportional to 204,810.60, 307,215.90 and 120,829.80 is: 181,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,810.60 : 307,215.90 = 120,829.80 : x
  2. Step 2: Convert to fraction form
    204,810.60/307,215.90 = 120,829.80/x
  3. Step 3: Cross multiply
    204,810.60x = 307,215.90 × 120,829.80
  4. Step 4: Simplify right side
    204,810.60x = 37,120,835,753.82
  5. Step 5: Solve for x
    x = 37,120,835,753.82/204,810.60
  6. Step 6: Final answer
    x = 181,244.70

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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.