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Finding the Fourth Proportional to 219,371.70, 329,015.92 and 106,938.84

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Solution

The fourth proportional to 219,371.70, 329,015.92 and 106,938.84 is: 160,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,371.70 : 329,015.92 = 106,938.84 : x
  2. Step 2: Convert to fraction form
    219,371.70/329,015.92 = 106,938.84/x
  3. Step 3: Cross multiply
    219,371.70x = 329,015.92 × 106,938.84
  4. Step 4: Simplify right side
    219,371.70x = 35,184,580,826.33
  5. Step 5: Solve for x
    x = 35,184,580,826.33/219,371.70
  6. Step 6: Final answer
    x = 160,387.97

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1.5x scale

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.