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Finding the Fourth Proportional to 202,941.72, 280,046.70 and 111,042.36

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Solution

The fourth proportional to 202,941.72, 280,046.70 and 111,042.36 is: 153,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,941.72 : 280,046.70 = 111,042.36 : x
  2. Step 2: Convert to fraction form
    202,941.72/280,046.70 = 111,042.36/x
  3. Step 3: Cross multiply
    202,941.72x = 280,046.70 × 111,042.36
  4. Step 4: Simplify right side
    202,941.72x = 31,097,046,478.21
  5. Step 5: Solve for x
    x = 31,097,046,478.21/202,941.72
  6. Step 6: Final answer
    x = 153,231.41

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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.