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Finding the Fourth Proportional to 148,617, 205,086.06 and 84,951

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Solution

The fourth proportional to 148,617, 205,086.06 and 84,951 is: 117,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,617 : 205,086.06 = 84,951 : x
  2. Step 2: Convert to fraction form
    148,617/205,086.06 = 84,951/x
  3. Step 3: Cross multiply
    148,617x = 205,086.06 × 84,951
  4. Step 4: Simplify right side
    148,617x = 17,422,265,883.06
  5. Step 5: Solve for x
    x = 17,422,265,883.06/148,617
  6. Step 6: Final answer
    x = 117,229.29

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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.