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Finding the Fourth Proportional to 199,652.84, 275,421.50 and 119,023.56

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Solution

The fourth proportional to 199,652.84, 275,421.50 and 119,023.56 is: 164,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,652.84 : 275,421.50 = 119,023.56 : x
  2. Step 2: Convert to fraction form
    199,652.84/275,421.50 = 119,023.56/x
  3. Step 3: Cross multiply
    199,652.84x = 275,421.50 × 119,023.56
  4. Step 4: Simplify right side
    199,652.84x = 32,781,647,430.54
  5. Step 5: Solve for x
    x = 32,781,647,430.54/199,652.84
  6. Step 6: Final answer
    x = 164,193.24

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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.