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Finding the Fourth Proportional to 242,816.16, 363,912.53 and 116,266.78

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Solution

The fourth proportional to 242,816.16, 363,912.53 and 116,266.78 is: 174,250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,816.16 : 363,912.53 = 116,266.78 : x
  2. Step 2: Convert to fraction form
    242,816.16/363,912.53 = 116,266.78/x
  3. Step 3: Cross multiply
    242,816.16x = 363,912.53 × 116,266.78
  4. Step 4: Simplify right side
    242,816.16x = 42,310,936,573.64
  5. Step 5: Solve for x
    x = 42,310,936,573.64/242,816.16
  6. Step 6: Final answer
    x = 174,250.91

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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.