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Finding the Fourth Proportional to 202,096.83, 278,895.38 and 111,456.03

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Solution

The fourth proportional to 202,096.83, 278,895.38 and 111,456.03 is: 153,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,096.83 : 278,895.38 = 111,456.03 : x
  2. Step 2: Convert to fraction form
    202,096.83/278,895.38 = 111,456.03/x
  3. Step 3: Cross multiply
    202,096.83x = 278,895.38 × 111,456.03
  4. Step 4: Simplify right side
    202,096.83x = 31,084,571,282.86
  5. Step 5: Solve for x
    x = 31,084,571,282.86/202,096.83
  6. Step 6: Final answer
    x = 153,810.29

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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.