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Finding the Fourth Proportional to 171,095.82, 256,700.97 and 96,362.34

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Solution

The fourth proportional to 171,095.82, 256,700.97 and 96,362.34 is: 144,575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,095.82 : 256,700.97 = 96,362.34 : x
  2. Step 2: Convert to fraction form
    171,095.82/256,700.97 = 96,362.34/x
  3. Step 3: Cross multiply
    171,095.82x = 256,700.97 × 96,362.34
  4. Step 4: Simplify right side
    171,095.82x = 24,736,306,149.47
  5. Step 5: Solve for x
    x = 24,736,306,149.47/171,095.82
  6. Step 6: Final answer
    x = 144,575.75

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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.