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Finding the Fourth Proportional to 242,213.12, 363,296.64 and 75,971.84

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Solution

The fourth proportional to 242,213.12, 363,296.64 and 75,971.84 is: 113,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,213.12 : 363,296.64 = 75,971.84 : x
  2. Step 2: Convert to fraction form
    242,213.12/363,296.64 = 75,971.84/x
  3. Step 3: Cross multiply
    242,213.12x = 363,296.64 × 75,971.84
  4. Step 4: Simplify right side
    242,213.12x = 27,600,314,206.62
  5. Step 5: Solve for x
    x = 27,600,314,206.62/242,213.12
  6. Step 6: Final answer
    x = 113,950.53

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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.