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Finding the Fourth Proportional to 266,182.75, 399,077.29 and 160,978.33

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Solution

The fourth proportional to 266,182.75, 399,077.29 and 160,978.33 is: 241,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,182.75 : 399,077.29 = 160,978.33 : x
  2. Step 2: Convert to fraction form
    266,182.75/399,077.29 = 160,978.33/x
  3. Step 3: Cross multiply
    266,182.75x = 399,077.29 × 160,978.33
  4. Step 4: Simplify right side
    266,182.75x = 64,242,795,685.13
  5. Step 5: Solve for x
    x = 64,242,795,685.13/266,182.75
  6. Step 6: Final answer
    x = 241,348.46

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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.