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Finding the Fourth Proportional to 138,785, 208,183.26 and 40,289

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Solution

The fourth proportional to 138,785, 208,183.26 and 40,289 is: 60,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,785 : 208,183.26 = 40,289 : x
  2. Step 2: Convert to fraction form
    138,785/208,183.26 = 40,289/x
  3. Step 3: Cross multiply
    138,785x = 208,183.26 × 40,289
  4. Step 4: Simplify right side
    138,785x = 8,387,495,362.14
  5. Step 5: Solve for x
    x = 8,387,495,362.14/138,785
  6. Step 6: Final answer
    x = 60,435.17

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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.