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Finding the Fourth Proportional to 228,446.50, 315,212.43 and 147,862.84

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Solution

The fourth proportional to 228,446.50, 315,212.43 and 147,862.84 is: 204,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,446.50 : 315,212.43 = 147,862.84 : x
  2. Step 2: Convert to fraction form
    228,446.50/315,212.43 = 147,862.84/x
  3. Step 3: Cross multiply
    228,446.50x = 315,212.43 × 147,862.84
  4. Step 4: Simplify right side
    228,446.50x = 46,608,205,103.10
  5. Step 5: Solve for x
    x = 46,608,205,103.10/228,446.50
  6. Step 6: Final answer
    x = 204,022.41

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1.5x scale

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.