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Finding the Fourth Proportional to 213,846.57, 295,075.39 and 123,184.83

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Solution

The fourth proportional to 213,846.57, 295,075.39 and 123,184.83 is: 169,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,846.57 : 295,075.39 = 123,184.83 : x
  2. Step 2: Convert to fraction form
    213,846.57/295,075.39 = 123,184.83/x
  3. Step 3: Cross multiply
    213,846.57x = 295,075.39 × 123,184.83
  4. Step 4: Simplify right side
    213,846.57x = 36,348,811,124.08
  5. Step 5: Solve for x
    x = 36,348,811,124.08/213,846.57
  6. Step 6: Final answer
    x = 169,976.13

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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.