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Finding the Fourth Proportional to 221,664.40, 332,004.52 and 182,298.40

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Solution

The fourth proportional to 221,664.40, 332,004.52 and 182,298.40 is: 273,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,664.40 : 332,004.52 = 182,298.40 : x
  2. Step 2: Convert to fraction form
    221,664.40/332,004.52 = 182,298.40/x
  3. Step 3: Cross multiply
    221,664.40x = 332,004.52 × 182,298.40
  4. Step 4: Simplify right side
    221,664.40x = 60,523,892,788.77
  5. Step 5: Solve for x
    x = 60,523,892,788.77/221,664.40
  6. Step 6: Final answer
    x = 273,042.91

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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.