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Finding the Fourth Proportional to 213,924.42, 295,213.68 and 123,247.08

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Solution

The fourth proportional to 213,924.42, 295,213.68 and 123,247.08 is: 170,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,924.42 : 295,213.68 = 123,247.08 : x
  2. Step 2: Convert to fraction form
    213,924.42/295,213.68 = 123,247.08/x
  3. Step 3: Cross multiply
    213,924.42x = 295,213.68 × 123,247.08
  4. Step 4: Simplify right side
    213,924.42x = 36,384,224,036.05
  5. Step 5: Solve for x
    x = 36,384,224,036.05/213,924.42
  6. Step 6: Final answer
    x = 170,079.81

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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.