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Finding the Fourth Proportional to 225,652.64, 338,478.96 and 114,922.40

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Solution

The fourth proportional to 225,652.64, 338,478.96 and 114,922.40 is: 172,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,652.64 : 338,478.96 = 114,922.40 : x
  2. Step 2: Convert to fraction form
    225,652.64/338,478.96 = 114,922.40/x
  3. Step 3: Cross multiply
    225,652.64x = 338,478.96 × 114,922.40
  4. Step 4: Simplify right side
    225,652.64x = 38,898,814,432.70
  5. Step 5: Solve for x
    x = 38,898,814,432.70/225,652.64
  6. Step 6: Final answer
    x = 172,383.60

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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.