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Finding the Fourth Proportional to 193,376.20, 289,718.70 and 165,728.20

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Solution

The fourth proportional to 193,376.20, 289,718.70 and 165,728.20 is: 248,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,376.20 : 289,718.70 = 165,728.20 : x
  2. Step 2: Convert to fraction form
    193,376.20/289,718.70 = 165,728.20/x
  3. Step 3: Cross multiply
    193,376.20x = 289,718.70 × 165,728.20
  4. Step 4: Simplify right side
    193,376.20x = 48,014,558,657.34
  5. Step 5: Solve for x
    x = 48,014,558,657.34/193,376.20
  6. Step 6: Final answer
    x = 248,296.11

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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.