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Finding the Fourth Proportional to 153,506.44, 211,837.07 and 85,523.24

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Solution

The fourth proportional to 153,506.44, 211,837.07 and 85,523.24 is: 118,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,506.44 : 211,837.07 = 85,523.24 : x
  2. Step 2: Convert to fraction form
    153,506.44/211,837.07 = 85,523.24/x
  3. Step 3: Cross multiply
    153,506.44x = 211,837.07 × 85,523.24
  4. Step 4: Simplify right side
    153,506.44x = 18,116,993,321.91
  5. Step 5: Solve for x
    x = 18,116,993,321.91/153,506.44
  6. Step 6: Final answer
    x = 118,021.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.