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Finding the Fourth Proportional to 143,782.05, 198,420.02 and 83,388.51

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Solution

The fourth proportional to 143,782.05, 198,420.02 and 83,388.51 is: 115,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,782.05 : 198,420.02 = 83,388.51 : x
  2. Step 2: Convert to fraction form
    143,782.05/198,420.02 = 83,388.51/x
  3. Step 3: Cross multiply
    143,782.05x = 198,420.02 × 83,388.51
  4. Step 4: Simplify right side
    143,782.05x = 16,545,949,821.97
  5. Step 5: Solve for x
    x = 16,545,949,821.97/143,782.05
  6. Step 6: Final answer
    x = 115,076.60

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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.