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Finding the Fourth Proportional to 146,744.54, 202,593.39 and 106,419.50

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Solution

The fourth proportional to 146,744.54, 202,593.39 and 106,419.50 is: 146,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,744.54 : 202,593.39 = 106,419.50 : x
  2. Step 2: Convert to fraction form
    146,744.54/202,593.39 = 106,419.50/x
  3. Step 3: Cross multiply
    146,744.54x = 202,593.39 × 106,419.50
  4. Step 4: Simplify right side
    146,744.54x = 21,559,887,267.11
  5. Step 5: Solve for x
    x = 21,559,887,267.11/146,744.54
  6. Step 6: Final answer
    x = 146,921.22

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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.