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Finding the Fourth Proportional to 195,200, 269,376 and 105,776

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Solution

The fourth proportional to 195,200, 269,376 and 105,776 is: 145,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,200 : 269,376 = 105,776 : x
  2. Step 2: Convert to fraction form
    195,200/269,376 = 105,776/x
  3. Step 3: Cross multiply
    195,200x = 269,376 × 105,776
  4. Step 4: Simplify right side
    195,200x = 28,493,515,776
  5. Step 5: Solve for x
    x = 28,493,515,776/195,200
  6. Step 6: Final answer
    x = 145,970.88

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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.