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Finding the Fourth Proportional to 149,568.30, 223,805.70 and 110,202.30

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Solution

The fourth proportional to 149,568.30, 223,805.70 and 110,202.30 is: 164,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,568.30 : 223,805.70 = 110,202.30 : x
  2. Step 2: Convert to fraction form
    149,568.30/223,805.70 = 110,202.30/x
  3. Step 3: Cross multiply
    149,568.30x = 223,805.70 × 110,202.30
  4. Step 4: Simplify right side
    149,568.30x = 24,663,902,893.11
  5. Step 5: Solve for x
    x = 24,663,902,893.11/149,568.30
  6. Step 6: Final answer
    x = 164,900.60

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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.