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Finding the Fourth Proportional to 149,298.26, 223,978.98 and 49,452.80

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Solution

The fourth proportional to 149,298.26, 223,978.98 and 49,452.80 is: 74,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,298.26 : 223,978.98 = 49,452.80 : x
  2. Step 2: Convert to fraction form
    149,298.26/223,978.98 = 49,452.80/x
  3. Step 3: Cross multiply
    149,298.26x = 223,978.98 × 49,452.80
  4. Step 4: Simplify right side
    149,298.26x = 11,076,387,702.14
  5. Step 5: Solve for x
    x = 11,076,387,702.14/149,298.26
  6. Step 6: Final answer
    x = 74,189.66

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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.