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Finding the Fourth Proportional to 313,505.49, 470,250.02 and 111,098.64

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Solution

The fourth proportional to 313,505.49, 470,250.02 and 111,098.64 is: 166,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,505.49 : 470,250.02 = 111,098.64 : x
  2. Step 2: Convert to fraction form
    313,505.49/470,250.02 = 111,098.64/x
  3. Step 3: Cross multiply
    313,505.49x = 470,250.02 × 111,098.64
  4. Step 4: Simplify right side
    313,505.49x = 52,244,137,126.48
  5. Step 5: Solve for x
    x = 52,244,137,126.48/313,505.49
  6. Step 6: Final answer
    x = 166,645.05

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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.