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Finding the Fourth Proportional to 151,898.82, 227,650.05 and 109,920.30

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Solution

The fourth proportional to 151,898.82, 227,650.05 and 109,920.30 is: 164,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,898.82 : 227,650.05 = 109,920.30 : x
  2. Step 2: Convert to fraction form
    151,898.82/227,650.05 = 109,920.30/x
  3. Step 3: Cross multiply
    151,898.82x = 227,650.05 × 109,920.30
  4. Step 4: Simplify right side
    151,898.82x = 25,023,362,772.34
  5. Step 5: Solve for x
    x = 25,023,362,772.34/151,898.82
  6. Step 6: Final answer
    x = 164,737.04

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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.