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Finding the Fourth Proportional to 195,200.48, 269,376.80 and 105,776.48

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Solution

The fourth proportional to 195,200.48, 269,376.80 and 105,776.48 is: 145,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,200.48 : 269,376.80 = 105,776.48 : x
  2. Step 2: Convert to fraction form
    195,200.48/269,376.80 = 105,776.48/x
  3. Step 3: Cross multiply
    195,200.48x = 269,376.80 × 105,776.48
  4. Step 4: Simplify right side
    195,200.48x = 28,493,729,697.66
  5. Step 5: Solve for x
    x = 28,493,729,697.66/195,200.48
  6. Step 6: Final answer
    x = 145,971.62

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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.