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Finding the Fourth Proportional to 171,103.39, 256,477.11 and 64,414.06

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Solution

The fourth proportional to 171,103.39, 256,477.11 and 64,414.06 is: 96,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,103.39 : 256,477.11 = 64,414.06 : x
  2. Step 2: Convert to fraction form
    171,103.39/256,477.11 = 64,414.06/x
  3. Step 3: Cross multiply
    171,103.39x = 256,477.11 × 64,414.06
  4. Step 4: Simplify right side
    171,103.39x = 16,520,731,952.17
  5. Step 5: Solve for x
    x = 16,520,731,952.17/171,103.39
  6. Step 6: Final answer
    x = 96,554.09

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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.