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Finding the Fourth Proportional to 381,080.89, 571,695.45 and 114,828.22

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Solution

The fourth proportional to 381,080.89, 571,695.45 and 114,828.22 is: 172,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,080.89 : 571,695.45 = 114,828.22 : x
  2. Step 2: Convert to fraction form
    381,080.89/571,695.45 = 114,828.22/x
  3. Step 3: Cross multiply
    381,080.89x = 571,695.45 × 114,828.22
  4. Step 4: Simplify right side
    381,080.89x = 65,646,770,905.60
  5. Step 5: Solve for x
    x = 65,646,770,905.60/381,080.89
  6. Step 6: Final answer
    x = 172,264.66

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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.