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Finding the Fourth Proportional to 171,253.40, 256,981.56 and 95,415.44

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Solution

The fourth proportional to 171,253.40, 256,981.56 and 95,415.44 is: 143,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,253.40 : 256,981.56 = 95,415.44 : x
  2. Step 2: Convert to fraction form
    171,253.40/256,981.56 = 95,415.44/x
  3. Step 3: Cross multiply
    171,253.40x = 256,981.56 × 95,415.44
  4. Step 4: Simplify right side
    171,253.40x = 24,520,008,619.29
  5. Step 5: Solve for x
    x = 24,520,008,619.29/171,253.40
  6. Step 6: Final answer
    x = 143,179.69

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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.