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Finding the Fourth Proportional to 105,911.87, 146,158.21 and 58,165.22

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Solution

The fourth proportional to 105,911.87, 146,158.21 and 58,165.22 is: 80,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,911.87 : 146,158.21 = 58,165.22 : x
  2. Step 2: Convert to fraction form
    105,911.87/146,158.21 = 58,165.22/x
  3. Step 3: Cross multiply
    105,911.87x = 146,158.21 × 58,165.22
  4. Step 4: Simplify right side
    105,911.87x = 8,501,325,041.15
  5. Step 5: Solve for x
    x = 8,501,325,041.15/105,911.87
  6. Step 6: Final answer
    x = 80,267.91

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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.