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Finding the Fourth Proportional to 204,652.74, 307,028.27 and 78,290.92

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Solution

The fourth proportional to 204,652.74, 307,028.27 and 78,290.92 is: 117,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,652.74 : 307,028.27 = 78,290.92 : x
  2. Step 2: Convert to fraction form
    204,652.74/307,028.27 = 78,290.92/x
  3. Step 3: Cross multiply
    204,652.74x = 307,028.27 × 78,290.92
  4. Step 4: Simplify right side
    204,652.74x = 24,037,525,724.31
  5. Step 5: Solve for x
    x = 24,037,525,724.31/204,652.74
  6. Step 6: Final answer
    x = 117,455.18

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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.