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Finding the Fourth Proportional to 256,513.80, 354,225.24 and 171,876.90

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Solution

The fourth proportional to 256,513.80, 354,225.24 and 171,876.90 is: 237,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,513.80 : 354,225.24 = 171,876.90 : x
  2. Step 2: Convert to fraction form
    256,513.80/354,225.24 = 171,876.90/x
  3. Step 3: Cross multiply
    256,513.80x = 354,225.24 × 171,876.90
  4. Step 4: Simplify right side
    256,513.80x = 60,883,136,152.96
  5. Step 5: Solve for x
    x = 60,883,136,152.96/256,513.80
  6. Step 6: Final answer
    x = 237,348.38

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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.