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Finding the Fourth Proportional to 195,068.50, 269,194.53 and 105,644.50

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Solution

The fourth proportional to 195,068.50, 269,194.53 and 105,644.50 is: 145,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,068.50 : 269,194.53 = 105,644.50 : x
  2. Step 2: Convert to fraction form
    195,068.50/269,194.53 = 105,644.50/x
  3. Step 3: Cross multiply
    195,068.50x = 269,194.53 × 105,644.50
  4. Step 4: Simplify right side
    195,068.50x = 28,438,921,524.59
  5. Step 5: Solve for x
    x = 28,438,921,524.59/195,068.50
  6. Step 6: Final answer
    x = 145,789.41

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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.