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Finding the Fourth Proportional to 146,263.50, 219,395.26 and 35,455.50

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Solution

The fourth proportional to 146,263.50, 219,395.26 and 35,455.50 is: 53,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,263.50 : 219,395.26 = 35,455.50 : x
  2. Step 2: Convert to fraction form
    146,263.50/219,395.26 = 35,455.50/x
  3. Step 3: Cross multiply
    146,263.50x = 219,395.26 × 35,455.50
  4. Step 4: Simplify right side
    146,263.50x = 7,778,768,640.93
  5. Step 5: Solve for x
    x = 7,778,768,640.93/146,263.50
  6. Step 6: Final answer
    x = 53,183.25

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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.