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Finding the Fourth Proportional to 114,487.71, 171,837.27 and 82,500

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Solution

The fourth proportional to 114,487.71, 171,837.27 and 82,500 is: 123,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,487.71 : 171,837.27 = 82,500 : x
  2. Step 2: Convert to fraction form
    114,487.71/171,837.27 = 82,500/x
  3. Step 3: Cross multiply
    114,487.71x = 171,837.27 × 82,500
  4. Step 4: Simplify right side
    114,487.71x = 14,176,574,775
  5. Step 5: Solve for x
    x = 14,176,574,775/114,487.71
  6. Step 6: Final answer
    x = 123,826.17

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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.