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Finding the Fourth Proportional to 146,266.26, 219,399.40 and 35,458.26

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Solution

The fourth proportional to 146,266.26, 219,399.40 and 35,458.26 is: 53,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,266.26 : 219,399.40 = 35,458.26 : x
  2. Step 2: Convert to fraction form
    146,266.26/219,399.40 = 35,458.26/x
  3. Step 3: Cross multiply
    146,266.26x = 219,399.40 × 35,458.26
  4. Step 4: Simplify right side
    146,266.26x = 7,779,520,969.04
  5. Step 5: Solve for x
    x = 7,779,520,969.04/146,266.26
  6. Step 6: Final answer
    x = 53,187.39

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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.