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Finding the Fourth Proportional to 202,058.99, 278,835.32 and 111,414.92

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Solution

The fourth proportional to 202,058.99, 278,835.32 and 111,414.92 is: 153,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,058.99 : 278,835.32 = 111,414.92 : x
  2. Step 2: Convert to fraction form
    202,058.99/278,835.32 = 111,414.92/x
  3. Step 3: Cross multiply
    202,058.99x = 278,835.32 × 111,414.92
  4. Step 4: Simplify right side
    202,058.99x = 31,066,412,919.72
  5. Step 5: Solve for x
    x = 31,066,412,919.72/202,058.99
  6. Step 6: Final answer
    x = 153,749.23

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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.