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Finding the Fourth Proportional to 102,922.30, 154,383.45 and 50,434.30

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Solution

The fourth proportional to 102,922.30, 154,383.45 and 50,434.30 is: 75,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,922.30 : 154,383.45 = 50,434.30 : x
  2. Step 2: Convert to fraction form
    102,922.30/154,383.45 = 50,434.30/x
  3. Step 3: Cross multiply
    102,922.30x = 154,383.45 × 50,434.30
  4. Step 4: Simplify right side
    102,922.30x = 7,786,221,232.34
  5. Step 5: Solve for x
    x = 7,786,221,232.34/102,922.30
  6. Step 6: Final answer
    x = 75,651.45

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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.