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Finding the Fourth Proportional to 157,442.58, 217,266.42 and 85,824

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Solution

The fourth proportional to 157,442.58, 217,266.42 and 85,824 is: 118,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,442.58 : 217,266.42 = 85,824 : x
  2. Step 2: Convert to fraction form
    157,442.58/217,266.42 = 85,824/x
  3. Step 3: Cross multiply
    157,442.58x = 217,266.42 × 85,824
  4. Step 4: Simplify right side
    157,442.58x = 18,646,673,230.08
  5. Step 5: Solve for x
    x = 18,646,673,230.08/157,442.58
  6. Step 6: Final answer
    x = 118,434.75

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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.