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Finding the Fourth Proportional to 89,902.25, 124,111.73 and 65,676

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Solution

The fourth proportional to 89,902.25, 124,111.73 and 65,676 is: 90,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,902.25 : 124,111.73 = 65,676 : x
  2. Step 2: Convert to fraction form
    89,902.25/124,111.73 = 65,676/x
  3. Step 3: Cross multiply
    89,902.25x = 124,111.73 × 65,676
  4. Step 4: Simplify right side
    89,902.25x = 8,151,161,651.10
  5. Step 5: Solve for x
    x = 8,151,161,651.10/89,902.25
  6. Step 6: Final answer
    x = 90,666.94

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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.