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Finding the Fourth Proportional to 156,083.20, 234,101.04 and 50,902

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Solution

The fourth proportional to 156,083.20, 234,101.04 and 50,902 is: 76,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,083.20 : 234,101.04 = 50,902 : x
  2. Step 2: Convert to fraction form
    156,083.20/234,101.04 = 50,902/x
  3. Step 3: Cross multiply
    156,083.20x = 234,101.04 × 50,902
  4. Step 4: Simplify right side
    156,083.20x = 11,916,211,138.08
  5. Step 5: Solve for x
    x = 11,916,211,138.08/156,083.20
  6. Step 6: Final answer
    x = 76,345.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.