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Finding the Fourth Proportional to 103,709.90, 155,305.65 and 68,458.70

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Solution

The fourth proportional to 103,709.90, 155,305.65 and 68,458.70 is: 102,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,709.90 : 155,305.65 = 68,458.70 : x
  2. Step 2: Convert to fraction form
    103,709.90/155,305.65 = 68,458.70/x
  3. Step 3: Cross multiply
    103,709.90x = 155,305.65 × 68,458.70
  4. Step 4: Simplify right side
    103,709.90x = 10,632,022,901.66
  5. Step 5: Solve for x
    x = 10,632,022,901.66/103,709.90
  6. Step 6: Final answer
    x = 102,516.95

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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.