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Finding the Fourth Proportional to 146,832, 202,610.97 and 86,389.35

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Solution

The fourth proportional to 146,832, 202,610.97 and 86,389.35 is: 119,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,832 : 202,610.97 = 86,389.35 : x
  2. Step 2: Convert to fraction form
    146,832/202,610.97 = 86,389.35/x
  3. Step 3: Cross multiply
    146,832x = 202,610.97 × 86,389.35
  4. Step 4: Simplify right side
    146,832x = 17,503,430,001.17
  5. Step 5: Solve for x
    x = 17,503,430,001.17/146,832
  6. Step 6: Final answer
    x = 119,207.19

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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.