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Finding the Fourth Proportional to 242,016.54, 363,059.37 and 75,817.50

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Solution

The fourth proportional to 242,016.54, 363,059.37 and 75,817.50 is: 113,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,016.54 : 363,059.37 = 75,817.50 : x
  2. Step 2: Convert to fraction form
    242,016.54/363,059.37 = 75,817.50/x
  3. Step 3: Cross multiply
    242,016.54x = 363,059.37 × 75,817.50
  4. Step 4: Simplify right side
    242,016.54x = 27,526,253,784.98
  5. Step 5: Solve for x
    x = 27,526,253,784.98/242,016.54
  6. Step 6: Final answer
    x = 113,737.08

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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.