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Finding the Fourth Proportional to 204,077.80, 306,116.70 and 85,709.80

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Solution

The fourth proportional to 204,077.80, 306,116.70 and 85,709.80 is: 128,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,077.80 : 306,116.70 = 85,709.80 : x
  2. Step 2: Convert to fraction form
    204,077.80/306,116.70 = 85,709.80/x
  3. Step 3: Cross multiply
    204,077.80x = 306,116.70 × 85,709.80
  4. Step 4: Simplify right side
    204,077.80x = 26,237,201,133.66
  5. Step 5: Solve for x
    x = 26,237,201,133.66/204,077.80
  6. Step 6: Final answer
    x = 128,564.70

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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.