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Finding the Fourth Proportional to 153,249.53, 211,485.38 and 85,269.36

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Solution

The fourth proportional to 153,249.53, 211,485.38 and 85,269.36 is: 117,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,249.53 : 211,485.38 = 85,269.36 : x
  2. Step 2: Convert to fraction form
    153,249.53/211,485.38 = 85,269.36/x
  3. Step 3: Cross multiply
    153,249.53x = 211,485.38 × 85,269.36
  4. Step 4: Simplify right side
    153,249.53x = 18,033,222,575.61
  5. Step 5: Solve for x
    x = 18,033,222,575.61/153,249.53
  6. Step 6: Final answer
    x = 117,672.29

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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.