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Finding the Fourth Proportional to 195,529.68, 269,830.98 and 106,105.68

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Solution

The fourth proportional to 195,529.68, 269,830.98 and 106,105.68 is: 146,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,529.68 : 269,830.98 = 106,105.68 : x
  2. Step 2: Convert to fraction form
    195,529.68/269,830.98 = 106,105.68/x
  3. Step 3: Cross multiply
    195,529.68x = 269,830.98 × 106,105.68
  4. Step 4: Simplify right side
    195,529.68x = 28,630,599,617.97
  5. Step 5: Solve for x
    x = 28,630,599,617.97/195,529.68
  6. Step 6: Final answer
    x = 146,425.85

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