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Finding the Fourth Proportional to 202,092.64, 278,889.80 and 111,451.82

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Solution

The fourth proportional to 202,092.64, 278,889.80 and 111,451.82 is: 153,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,092.64 : 278,889.80 = 111,451.82 : x
  2. Step 2: Convert to fraction form
    202,092.64/278,889.80 = 111,451.82/x
  3. Step 3: Cross multiply
    202,092.64x = 278,889.80 × 111,451.82
  4. Step 4: Simplify right side
    202,092.64x = 31,082,773,837.73
  5. Step 5: Solve for x
    x = 31,082,773,837.73/202,092.64
  6. Step 6: Final answer
    x = 153,804.58

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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.