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Finding the Fourth Proportional to 224,584.72, 309,926.28 and 123,982

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Solution

The fourth proportional to 224,584.72, 309,926.28 and 123,982 is: 171,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,584.72 : 309,926.28 = 123,982 : x
  2. Step 2: Convert to fraction form
    224,584.72/309,926.28 = 123,982/x
  3. Step 3: Cross multiply
    224,584.72x = 309,926.28 × 123,982
  4. Step 4: Simplify right side
    224,584.72x = 38,425,280,046.96
  5. Step 5: Solve for x
    x = 38,425,280,046.96/224,584.72
  6. Step 6: Final answer
    x = 171,094.81

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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.