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Finding the Fourth Proportional to 105,980.57, 146,253.16 and 58,237

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Solution

The fourth proportional to 105,980.57, 146,253.16 and 58,237 is: 80,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,980.57 : 146,253.16 = 58,237 : x
  2. Step 2: Convert to fraction form
    105,980.57/146,253.16 = 58,237/x
  3. Step 3: Cross multiply
    105,980.57x = 146,253.16 × 58,237
  4. Step 4: Simplify right side
    105,980.57x = 8,517,345,278.92
  5. Step 5: Solve for x
    x = 8,517,345,278.92/105,980.57
  6. Step 6: Final answer
    x = 80,367.05

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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.