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Finding the Fourth Proportional to 193,082.10, 289,623.15 and 163,922.10

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Solution

The fourth proportional to 193,082.10, 289,623.15 and 163,922.10 is: 245,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,082.10 : 289,623.15 = 163,922.10 : x
  2. Step 2: Convert to fraction form
    193,082.10/289,623.15 = 163,922.10/x
  3. Step 3: Cross multiply
    193,082.10x = 289,623.15 × 163,922.10
  4. Step 4: Simplify right side
    193,082.10x = 47,475,634,956.62
  5. Step 5: Solve for x
    x = 47,475,634,956.62/193,082.10
  6. Step 6: Final answer
    x = 245,883.15

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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.