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Finding the Fourth Proportional to 202,357.29, 279,245.71 and 111,711.30

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Solution

The fourth proportional to 202,357.29, 279,245.71 and 111,711.30 is: 154,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357.29 : 279,245.71 = 111,711.30 : x
  2. Step 2: Convert to fraction form
    202,357.29/279,245.71 = 111,711.30/x
  3. Step 3: Cross multiply
    202,357.29x = 279,245.71 × 111,711.30
  4. Step 4: Simplify right side
    202,357.29x = 31,194,901,283.52
  5. Step 5: Solve for x
    x = 31,194,901,283.52/202,357.29
  6. Step 6: Final answer
    x = 154,157.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.