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Finding the Fourth Proportional to 199,663.92, 275,547.39 and 109,028.34

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Solution

The fourth proportional to 199,663.92, 275,547.39 and 109,028.34 is: 150,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,663.92 : 275,547.39 = 109,028.34 : x
  2. Step 2: Convert to fraction form
    199,663.92/275,547.39 = 109,028.34/x
  3. Step 3: Cross multiply
    199,663.92x = 275,547.39 × 109,028.34
  4. Step 4: Simplify right side
    199,663.92x = 30,042,474,523.03
  5. Step 5: Solve for x
    x = 30,042,474,523.03/199,663.92
  6. Step 6: Final answer
    x = 150,465.21

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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.