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Finding the Fourth Proportional to 256,500.03, 353,962.80 and 143,322.78

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Solution

The fourth proportional to 256,500.03, 353,962.80 and 143,322.78 is: 197,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,500.03 : 353,962.80 = 143,322.78 : x
  2. Step 2: Convert to fraction form
    256,500.03/353,962.80 = 143,322.78/x
  3. Step 3: Cross multiply
    256,500.03x = 353,962.80 × 143,322.78
  4. Step 4: Simplify right side
    256,500.03x = 50,730,932,512.58
  5. Step 5: Solve for x
    x = 50,730,932,512.58/256,500.03
  6. Step 6: Final answer
    x = 197,781.39

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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.