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Finding the Fourth Proportional to 193,252.52, 289,961.40 and 99,823.88

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Solution

The fourth proportional to 193,252.52, 289,961.40 and 99,823.88 is: 149,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,252.52 : 289,961.40 = 99,823.88 : x
  2. Step 2: Convert to fraction form
    193,252.52/289,961.40 = 99,823.88/x
  3. Step 3: Cross multiply
    193,252.52x = 289,961.40 × 99,823.88
  4. Step 4: Simplify right side
    193,252.52x = 28,945,073,097.48
  5. Step 5: Solve for x
    x = 28,945,073,097.48/193,252.52
  6. Step 6: Final answer
    x = 149,778.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.