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Finding the Fourth Proportional to 224,185, 309,381.78 and 123,589.48

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Solution

The fourth proportional to 224,185, 309,381.78 and 123,589.48 is: 170,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,185 : 309,381.78 = 123,589.48 : x
  2. Step 2: Convert to fraction form
    224,185/309,381.78 = 123,589.48/x
  3. Step 3: Cross multiply
    224,185x = 309,381.78 × 123,589.48
  4. Step 4: Simplify right side
    224,185x = 38,236,333,311.67
  5. Step 5: Solve for x
    x = 38,236,333,311.67/224,185
  6. Step 6: Final answer
    x = 170,557.05

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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.