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Finding the Fourth Proportional to 205,139.50, 283,073.32 and 119,075.64

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Solution

The fourth proportional to 205,139.50, 283,073.32 and 119,075.64 is: 164,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,139.50 : 283,073.32 = 119,075.64 : x
  2. Step 2: Convert to fraction form
    205,139.50/283,073.32 = 119,075.64/x
  3. Step 3: Cross multiply
    205,139.50x = 283,073.32 × 119,075.64
  4. Step 4: Simplify right side
    205,139.50x = 33,707,136,745.92
  5. Step 5: Solve for x
    x = 33,707,136,745.92/205,139.50
  6. Step 6: Final answer
    x = 164,313.24

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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.