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Finding the Fourth Proportional to 202,097.20, 302,951.40 and 157,093.60

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Solution

The fourth proportional to 202,097.20, 302,951.40 and 157,093.60 is: 235,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,097.20 : 302,951.40 = 157,093.60 : x
  2. Step 2: Convert to fraction form
    202,097.20/302,951.40 = 157,093.60/x
  3. Step 3: Cross multiply
    202,097.20x = 302,951.40 × 157,093.60
  4. Step 4: Simplify right side
    202,097.20x = 47,591,726,051.04
  5. Step 5: Solve for x
    x = 47,591,726,051.04/202,097.20
  6. Step 6: Final answer
    x = 235,489.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.