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Finding the Fourth Proportional to 197,929.50, 273,142.71 and 108,505.50

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Solution

The fourth proportional to 197,929.50, 273,142.71 and 108,505.50 is: 149,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,929.50 : 273,142.71 = 108,505.50 : x
  2. Step 2: Convert to fraction form
    197,929.50/273,142.71 = 108,505.50/x
  3. Step 3: Cross multiply
    197,929.50x = 273,142.71 × 108,505.50
  4. Step 4: Simplify right side
    197,929.50x = 29,637,486,319.91
  5. Step 5: Solve for x
    x = 29,637,486,319.91/197,929.50
  6. Step 6: Final answer
    x = 149,737.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.