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Finding the Fourth Proportional to 146,728.44, 202,533.48 and 86,296.50

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Solution

The fourth proportional to 146,728.44, 202,533.48 and 86,296.50 is: 119,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,728.44 : 202,533.48 = 86,296.50 : x
  2. Step 2: Convert to fraction form
    146,728.44/202,533.48 = 86,296.50/x
  3. Step 3: Cross multiply
    146,728.44x = 202,533.48 × 86,296.50
  4. Step 4: Simplify right side
    146,728.44x = 17,477,930,456.82
  5. Step 5: Solve for x
    x = 17,477,930,456.82/146,728.44
  6. Step 6: Final answer
    x = 119,117.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.