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Finding the Fourth Proportional to 171,147.28, 256,614 and 65,840.80

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Solution

The fourth proportional to 171,147.28, 256,614 and 65,840.80 is: 98,720.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,147.28 : 256,614 = 65,840.80 : x
  2. Step 2: Convert to fraction form
    171,147.28/256,614 = 65,840.80/x
  3. Step 3: Cross multiply
    171,147.28x = 256,614 × 65,840.80
  4. Step 4: Simplify right side
    171,147.28x = 16,895,671,051.20
  5. Step 5: Solve for x
    x = 16,895,671,051.20/171,147.28
  6. Step 6: Final answer
    x = 98,720.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.