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Finding the Fourth Proportional to 146,782.99, 202,561.32 and 83,133.19

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Solution

The fourth proportional to 146,782.99, 202,561.32 and 83,133.19 is: 114,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,782.99 : 202,561.32 = 83,133.19 : x
  2. Step 2: Convert to fraction form
    146,782.99/202,561.32 = 83,133.19/x
  3. Step 3: Cross multiply
    146,782.99x = 202,561.32 × 83,133.19
  4. Step 4: Simplify right side
    146,782.99x = 16,839,568,702.21
  5. Step 5: Solve for x
    x = 16,839,568,702.21/146,782.99
  6. Step 6: Final answer
    x = 114,724.25

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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.