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Finding the Fourth Proportional to 228,449.50, 315,216.56 and 147,865.84

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Solution

The fourth proportional to 228,449.50, 315,216.56 and 147,865.84 is: 204,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,449.50 : 315,216.56 = 147,865.84 : x
  2. Step 2: Convert to fraction form
    228,449.50/315,216.56 = 147,865.84/x
  3. Step 3: Cross multiply
    228,449.50x = 315,216.56 × 147,865.84
  4. Step 4: Simplify right side
    228,449.50x = 46,609,761,426.31
  5. Step 5: Solve for x
    x = 46,609,761,426.31/228,449.50
  6. Step 6: Final answer
    x = 204,026.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.