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Finding the Fourth Proportional to 199,313.10, 299,430.45 and 137,105.10

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Solution

The fourth proportional to 199,313.10, 299,430.45 and 137,105.10 is: 205,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,313.10 : 299,430.45 = 137,105.10 : x
  2. Step 2: Convert to fraction form
    199,313.10/299,430.45 = 137,105.10/x
  3. Step 3: Cross multiply
    199,313.10x = 299,430.45 × 137,105.10
  4. Step 4: Simplify right side
    199,313.10x = 41,053,441,790.30
  5. Step 5: Solve for x
    x = 41,053,441,790.30/199,313.10
  6. Step 6: Final answer
    x = 205,974.63

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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.