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Finding the Fourth Proportional to 157,035.20, 216,712.14 and 85,419.05

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Solution

The fourth proportional to 157,035.20, 216,712.14 and 85,419.05 is: 117,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,035.20 : 216,712.14 = 85,419.05 : x
  2. Step 2: Convert to fraction form
    157,035.20/216,712.14 = 85,419.05/x
  3. Step 3: Cross multiply
    157,035.20x = 216,712.14 × 85,419.05
  4. Step 4: Simplify right side
    157,035.20x = 18,511,345,122.27
  5. Step 5: Solve for x
    x = 18,511,345,122.27/157,035.20
  6. Step 6: Final answer
    x = 117,880.23

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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.