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Finding the Fourth Proportional to 219,162.68, 328,469.60 and 117,711.42

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Solution

The fourth proportional to 219,162.68, 328,469.60 and 117,711.42 is: 176,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,162.68 : 328,469.60 = 117,711.42 : x
  2. Step 2: Convert to fraction form
    219,162.68/328,469.60 = 117,711.42/x
  3. Step 3: Cross multiply
    219,162.68x = 328,469.60 × 117,711.42
  4. Step 4: Simplify right side
    219,162.68x = 38,664,623,042.83
  5. Step 5: Solve for x
    x = 38,664,623,042.83/219,162.68
  6. Step 6: Final answer
    x = 176,419.74

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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.