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Finding the Fourth Proportional to 172,449.84, 237,934.16 and 100,847.44

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Solution

The fourth proportional to 172,449.84, 237,934.16 and 100,847.44 is: 139,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,449.84 : 237,934.16 = 100,847.44 : x
  2. Step 2: Convert to fraction form
    172,449.84/237,934.16 = 100,847.44/x
  3. Step 3: Cross multiply
    172,449.84x = 237,934.16 × 100,847.44
  4. Step 4: Simplify right side
    172,449.84x = 23,995,050,924.55
  5. Step 5: Solve for x
    x = 23,995,050,924.55/172,449.84
  6. Step 6: Final answer
    x = 139,142.20

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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.