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Finding the Fourth Proportional to 199,756.96, 275,661.84 and 109,111.84

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Solution

The fourth proportional to 199,756.96, 275,661.84 and 109,111.84 is: 150,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,756.96 : 275,661.84 = 109,111.84 : x
  2. Step 2: Convert to fraction form
    199,756.96/275,661.84 = 109,111.84/x
  3. Step 3: Cross multiply
    199,756.96x = 275,661.84 × 109,111.84
  4. Step 4: Simplify right side
    199,756.96x = 30,077,970,580.19
  5. Step 5: Solve for x
    x = 30,077,970,580.19/199,756.96
  6. Step 6: Final answer
    x = 150,572.83

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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.