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Finding the Fourth Proportional to 256,011.48, 353,296.86 and 142,839

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Solution

The fourth proportional to 256,011.48, 353,296.86 and 142,839 is: 197,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,011.48 : 353,296.86 = 142,839 : x
  2. Step 2: Convert to fraction form
    256,011.48/353,296.86 = 142,839/x
  3. Step 3: Cross multiply
    256,011.48x = 353,296.86 × 142,839
  4. Step 4: Simplify right side
    256,011.48x = 50,464,570,185.54
  5. Step 5: Solve for x
    x = 50,464,570,185.54/256,011.48
  6. Step 6: Final answer
    x = 197,118.39

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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.