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Finding the Fourth Proportional to 256,560.21, 354,022.38 and 141,823.44

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Solution

The fourth proportional to 256,560.21, 354,022.38 and 141,823.44 is: 195,699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,560.21 : 354,022.38 = 141,823.44 : x
  2. Step 2: Convert to fraction form
    256,560.21/354,022.38 = 141,823.44/x
  3. Step 3: Cross multiply
    256,560.21x = 354,022.38 × 141,823.44
  4. Step 4: Simplify right side
    256,560.21x = 50,208,671,768.59
  5. Step 5: Solve for x
    x = 50,208,671,768.59/256,560.21
  6. Step 6: Final answer
    x = 195,699.37

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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.