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Finding the Fourth Proportional to 256,611.72, 354,124.62 and 143,434.38

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Solution

The fourth proportional to 256,611.72, 354,124.62 and 143,434.38 is: 197,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,611.72 : 354,124.62 = 143,434.38 : x
  2. Step 2: Convert to fraction form
    256,611.72/354,124.62 = 143,434.38/x
  3. Step 3: Cross multiply
    256,611.72x = 354,124.62 × 143,434.38
  4. Step 4: Simplify right side
    256,611.72x = 50,793,645,312.44
  5. Step 5: Solve for x
    x = 50,793,645,312.44/256,611.72
  6. Step 6: Final answer
    x = 197,939.69

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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.