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Finding the Fourth Proportional to 185,075.92, 255,446.93 and 120,431.23

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Solution

The fourth proportional to 185,075.92, 255,446.93 and 120,431.23 is: 166,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,075.92 : 255,446.93 = 120,431.23 : x
  2. Step 2: Convert to fraction form
    185,075.92/255,446.93 = 120,431.23/x
  3. Step 3: Cross multiply
    185,075.92x = 255,446.93 × 120,431.23
  4. Step 4: Simplify right side
    185,075.92x = 30,763,787,979.62
  5. Step 5: Solve for x
    x = 30,763,787,979.62/185,075.92
  6. Step 6: Final answer
    x = 166,222.53

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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.