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Finding the Fourth Proportional to 146,721.39, 202,477.62 and 85,466.01

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Solution

The fourth proportional to 146,721.39, 202,477.62 and 85,466.01 is: 117,944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,721.39 : 202,477.62 = 85,466.01 : x
  2. Step 2: Convert to fraction form
    146,721.39/202,477.62 = 85,466.01/x
  3. Step 3: Cross multiply
    146,721.39x = 202,477.62 × 85,466.01
  4. Step 4: Simplify right side
    146,721.39x = 17,304,954,003.17
  5. Step 5: Solve for x
    x = 17,304,954,003.17/146,721.39
  6. Step 6: Final answer
    x = 117,944.31

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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.