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Finding the Fourth Proportional to 199,683, 275,563.01 and 109,039.14

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Solution

The fourth proportional to 199,683, 275,563.01 and 109,039.14 is: 150,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,683 : 275,563.01 = 109,039.14 : x
  2. Step 2: Convert to fraction form
    199,683/275,563.01 = 109,039.14/x
  3. Step 3: Cross multiply
    199,683x = 275,563.01 × 109,039.14
  4. Step 4: Simplify right side
    199,683x = 30,047,153,898.81
  5. Step 5: Solve for x
    x = 30,047,153,898.81/199,683
  6. Step 6: Final answer
    x = 150,474.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.