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Finding the Fourth Proportional to 219,105.92, 328,696.68 and 69,343.76

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Solution

The fourth proportional to 219,105.92, 328,696.68 and 69,343.76 is: 104,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,105.92 : 328,696.68 = 69,343.76 : x
  2. Step 2: Convert to fraction form
    219,105.92/328,696.68 = 69,343.76/x
  3. Step 3: Cross multiply
    219,105.92x = 328,696.68 × 69,343.76
  4. Step 4: Simplify right side
    219,105.92x = 22,793,063,690.72
  5. Step 5: Solve for x
    x = 22,793,063,690.72/219,105.92
  6. Step 6: Final answer
    x = 104,027.60

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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.