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Finding the Fourth Proportional to 106,000.50, 159,024.14 and 58,684.62

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Solution

The fourth proportional to 106,000.50, 159,024.14 and 58,684.62 is: 88,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,000.50 : 159,024.14 = 58,684.62 : x
  2. Step 2: Convert to fraction form
    106,000.50/159,024.14 = 58,684.62/x
  3. Step 3: Cross multiply
    106,000.50x = 159,024.14 × 58,684.62
  4. Step 4: Simplify right side
    106,000.50x = 9,332,271,226.73
  5. Step 5: Solve for x
    x = 9,332,271,226.73/106,000.50
  6. Step 6: Final answer
    x = 88,039.88

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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.