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Finding the Fourth Proportional to 150,631.88, 207,872.00 and 83,563.88

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Solution

The fourth proportional to 150,631.88, 207,872.00 and 83,563.88 is: 115,318.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,631.88 : 207,872.00 = 83,563.88 : x
  2. Step 2: Convert to fraction form
    150,631.88/207,872.00 = 83,563.88/x
  3. Step 3: Cross multiply
    150,631.88x = 207,872.00 × 83,563.88
  4. Step 4: Simplify right side
    150,631.88x = 17,370,589,406.18
  5. Step 5: Solve for x
    x = 17,370,589,406.18/150,631.88
  6. Step 6: Final answer
    x = 115,318.15

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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.