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Finding the Fourth Proportional to 102,863.34, 154,307.43 and 36,289.80

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Solution

The fourth proportional to 102,863.34, 154,307.43 and 36,289.80 is: 54,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,863.34 : 154,307.43 = 36,289.80 : x
  2. Step 2: Convert to fraction form
    102,863.34/154,307.43 = 36,289.80/x
  3. Step 3: Cross multiply
    102,863.34x = 154,307.43 × 36,289.80
  4. Step 4: Simplify right side
    102,863.34x = 5,599,785,773.21
  5. Step 5: Solve for x
    x = 5,599,785,773.21/102,863.34
  6. Step 6: Final answer
    x = 54,439.08

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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.