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Finding the Fourth Proportional to 149,298.92, 206,032.52 and 82,230.92

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Solution

The fourth proportional to 149,298.92, 206,032.52 and 82,230.92 is: 113,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,298.92 : 206,032.52 = 82,230.92 : x
  2. Step 2: Convert to fraction form
    149,298.92/206,032.52 = 82,230.92/x
  3. Step 3: Cross multiply
    149,298.92x = 206,032.52 × 82,230.92
  4. Step 4: Simplify right side
    149,298.92x = 16,942,243,669.52
  5. Step 5: Solve for x
    x = 16,942,243,669.52/149,298.92
  6. Step 6: Final answer
    x = 113,478.68

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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.