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Finding the Fourth Proportional to 102,993.92, 142,103.04 and 58,280.96

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Solution

The fourth proportional to 102,993.92, 142,103.04 and 58,280.96 is: 80,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,993.92 : 142,103.04 = 58,280.96 : x
  2. Step 2: Convert to fraction form
    102,993.92/142,103.04 = 58,280.96/x
  3. Step 3: Cross multiply
    102,993.92x = 142,103.04 × 58,280.96
  4. Step 4: Simplify right side
    102,993.92x = 8,281,901,590.12
  5. Step 5: Solve for x
    x = 8,281,901,590.12/102,993.92
  6. Step 6: Final answer
    x = 80,411.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.