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Finding the Fourth Proportional to 157,181.30, 216,496.99 and 120,813.20

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Solution

The fourth proportional to 157,181.30, 216,496.99 and 120,813.20 is: 166,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,181.30 : 216,496.99 = 120,813.20 : x
  2. Step 2: Convert to fraction form
    157,181.30/216,496.99 = 120,813.20/x
  3. Step 3: Cross multiply
    157,181.30x = 216,496.99 × 120,813.20
  4. Step 4: Simplify right side
    157,181.30x = 26,155,694,152.27
  5. Step 5: Solve for x
    x = 26,155,694,152.27/157,181.30
  6. Step 6: Final answer
    x = 166,404.62

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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.