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Finding the Fourth Proportional to 381,080.64, 571,695.08 and 114,827.97

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Solution

The fourth proportional to 381,080.64, 571,695.08 and 114,827.97 is: 172,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,080.64 : 571,695.08 = 114,827.97 : x
  2. Step 2: Convert to fraction form
    381,080.64/571,695.08 = 114,827.97/x
  3. Step 3: Cross multiply
    381,080.64x = 571,695.08 × 114,827.97
  4. Step 4: Simplify right side
    381,080.64x = 65,646,584,921.25
  5. Step 5: Solve for x
    x = 65,646,584,921.25/381,080.64
  6. Step 6: Final answer
    x = 172,264.29

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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.