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Finding the Fourth Proportional to 361,997.16, 543,073.74 and 109,256.52

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Solution

The fourth proportional to 361,997.16, 543,073.74 and 109,256.52 is: 163,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,997.16 : 543,073.74 = 109,256.52 : x
  2. Step 2: Convert to fraction form
    361,997.16/543,073.74 = 109,256.52/x
  3. Step 3: Cross multiply
    361,997.16x = 543,073.74 × 109,256.52
  4. Step 4: Simplify right side
    361,997.16x = 59,334,346,935.78
  5. Step 5: Solve for x
    x = 59,334,346,935.78/361,997.16
  6. Step 6: Final answer
    x = 163,908.32

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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.