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Finding the Fourth Proportional to 205,893.59, 308,929.14 and 79,622.69

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Solution

The fourth proportional to 205,893.59, 308,929.14 and 79,622.69 is: 119,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,893.59 : 308,929.14 = 79,622.69 : x
  2. Step 2: Convert to fraction form
    205,893.59/308,929.14 = 79,622.69/x
  3. Step 3: Cross multiply
    205,893.59x = 308,929.14 × 79,622.69
  4. Step 4: Simplify right side
    205,893.59x = 24,597,767,601.54
  5. Step 5: Solve for x
    x = 24,597,767,601.54/205,893.59
  6. Step 6: Final answer
    x = 119,468.35

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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.