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Finding the Fourth Proportional to 202,921.96, 280,085.46 and 116,890.84

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Solution

The fourth proportional to 202,921.96, 280,085.46 and 116,890.84 is: 161,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,921.96 : 280,085.46 = 116,890.84 : x
  2. Step 2: Convert to fraction form
    202,921.96/280,085.46 = 116,890.84/x
  3. Step 3: Cross multiply
    202,921.96x = 280,085.46 × 116,890.84
  4. Step 4: Simplify right side
    202,921.96x = 32,739,424,691.19
  5. Step 5: Solve for x
    x = 32,739,424,691.19/202,921.96
  6. Step 6: Final answer
    x = 161,339.98

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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.