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Finding the Fourth Proportional to 143,542.48, 198,075.74 and 83,117.22

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Solution

The fourth proportional to 143,542.48, 198,075.74 and 83,117.22 is: 114,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,542.48 : 198,075.74 = 83,117.22 : x
  2. Step 2: Convert to fraction form
    143,542.48/198,075.74 = 83,117.22/x
  3. Step 3: Cross multiply
    143,542.48x = 198,075.74 × 83,117.22
  4. Step 4: Simplify right side
    143,542.48x = 16,463,504,858.24
  5. Step 5: Solve for x
    x = 16,463,504,858.24/143,542.48
  6. Step 6: Final answer
    x = 114,694.30

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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.