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Finding the Fourth Proportional to 224,579, 309,919.62 and 123,977

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Solution

The fourth proportional to 224,579, 309,919.62 and 123,977 is: 171,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,579 : 309,919.62 = 123,977 : x
  2. Step 2: Convert to fraction form
    224,579/309,919.62 = 123,977/x
  3. Step 3: Cross multiply
    224,579x = 309,919.62 × 123,977
  4. Step 4: Simplify right side
    224,579x = 38,422,904,728.74
  5. Step 5: Solve for x
    x = 38,422,904,728.74/224,579
  6. Step 6: Final answer
    x = 171,088.59

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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.