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Finding the Fourth Proportional to 224,191.08, 309,381.66 and 123,589.08

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Solution

The fourth proportional to 224,191.08, 309,381.66 and 123,589.08 is: 170,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,191.08 : 309,381.66 = 123,589.08 : x
  2. Step 2: Convert to fraction form
    224,191.08/309,381.66 = 123,589.08/x
  3. Step 3: Cross multiply
    224,191.08x = 309,381.66 × 123,589.08
  4. Step 4: Simplify right side
    224,191.08x = 38,236,194,728.27
  5. Step 5: Solve for x
    x = 38,236,194,728.27/224,191.08
  6. Step 6: Final answer
    x = 170,551.81

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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.