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Finding the Fourth Proportional to 381,251.18, 571,880.86 and 115,014

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Solution

The fourth proportional to 381,251.18, 571,880.86 and 115,014 is: 172,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,251.18 : 571,880.86 = 115,014 : x
  2. Step 2: Convert to fraction form
    381,251.18/571,880.86 = 115,014/x
  3. Step 3: Cross multiply
    381,251.18x = 571,880.86 × 115,014
  4. Step 4: Simplify right side
    381,251.18x = 65,774,305,232.04
  5. Step 5: Solve for x
    x = 65,774,305,232.04/381,251.18
  6. Step 6: Final answer
    x = 172,522.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.