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Finding the Fourth Proportional to 150,143.24, 207,194.94 and 83,075.24

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Solution

The fourth proportional to 150,143.24, 207,194.94 and 83,075.24 is: 114,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,143.24 : 207,194.94 = 83,075.24 : x
  2. Step 2: Convert to fraction form
    150,143.24/207,194.94 = 83,075.24/x
  3. Step 3: Cross multiply
    150,143.24x = 207,194.94 × 83,075.24
  4. Step 4: Simplify right side
    150,143.24x = 17,212,769,367.29
  5. Step 5: Solve for x
    x = 17,212,769,367.29/150,143.24
  6. Step 6: Final answer
    x = 114,642.32

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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.