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Finding the Fourth Proportional to 224,439.84, 309,839.16 and 139,584.24

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Solution

The fourth proportional to 224,439.84, 309,839.16 and 139,584.24 is: 192,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,439.84 : 309,839.16 = 139,584.24 : x
  2. Step 2: Convert to fraction form
    224,439.84/309,839.16 = 139,584.24/x
  3. Step 3: Cross multiply
    224,439.84x = 309,839.16 × 139,584.24
  4. Step 4: Simplify right side
    224,439.84x = 43,248,663,670.84
  5. Step 5: Solve for x
    x = 43,248,663,670.84/224,439.84
  6. Step 6: Final answer
    x = 192,696.02

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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.