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Finding the Fourth Proportional to 157,021.26, 216,683.10 and 85,401.24

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Solution

The fourth proportional to 157,021.26, 216,683.10 and 85,401.24 is: 117,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,021.26 : 216,683.10 = 85,401.24 : x
  2. Step 2: Convert to fraction form
    157,021.26/216,683.10 = 85,401.24/x
  3. Step 3: Cross multiply
    157,021.26x = 216,683.10 × 85,401.24
  4. Step 4: Simplify right side
    157,021.26x = 18,505,005,427.04
  5. Step 5: Solve for x
    x = 18,505,005,427.04/157,021.26
  6. Step 6: Final answer
    x = 117,850.32

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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.