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Finding the Fourth Proportional to 150,573.29, 207,787.57 and 82,589.66

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Solution

The fourth proportional to 150,573.29, 207,787.57 and 82,589.66 is: 113,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,573.29 : 207,787.57 = 82,589.66 : x
  2. Step 2: Convert to fraction form
    150,573.29/207,787.57 = 82,589.66/x
  3. Step 3: Cross multiply
    150,573.29x = 207,787.57 × 82,589.66
  4. Step 4: Simplify right side
    150,573.29x = 17,161,104,758.53
  5. Step 5: Solve for x
    x = 17,161,104,758.53/150,573.29
  6. Step 6: Final answer
    x = 113,971.77

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Why These Related Problems?

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