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Finding the Fourth Proportional to 216,367.92, 298,712.88 and 164,977.20

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Solution

The fourth proportional to 216,367.92, 298,712.88 and 164,977.20 is: 227,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,367.92 : 298,712.88 = 164,977.20 : x
  2. Step 2: Convert to fraction form
    216,367.92/298,712.88 = 164,977.20/x
  3. Step 3: Cross multiply
    216,367.92x = 298,712.88 × 164,977.20
  4. Step 4: Simplify right side
    216,367.92x = 49,280,814,546.34
  5. Step 5: Solve for x
    x = 49,280,814,546.34/216,367.92
  6. Step 6: Final answer
    x = 227,763.96

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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.