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Finding the Fourth Proportional to 171,098.62, 256,648.06 and 46,439.62

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Solution

The fourth proportional to 171,098.62, 256,648.06 and 46,439.62 is: 69,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,098.62 : 256,648.06 = 46,439.62 : x
  2. Step 2: Convert to fraction form
    171,098.62/256,648.06 = 46,439.62/x
  3. Step 3: Cross multiply
    171,098.62x = 256,648.06 × 46,439.62
  4. Step 4: Simplify right side
    171,098.62x = 11,918,638,380.14
  5. Step 5: Solve for x
    x = 11,918,638,380.14/171,098.62
  6. Step 6: Final answer
    x = 69,659.47

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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.