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Finding the Fourth Proportional to 224,787.78, 310,206.96 and 122,814

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Solution

The fourth proportional to 224,787.78, 310,206.96 and 122,814 is: 169,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,787.78 : 310,206.96 = 122,814 : x
  2. Step 2: Convert to fraction form
    224,787.78/310,206.96 = 122,814/x
  3. Step 3: Cross multiply
    224,787.78x = 310,206.96 × 122,814
  4. Step 4: Simplify right side
    224,787.78x = 38,097,757,585.44
  5. Step 5: Solve for x
    x = 38,097,757,585.44/224,787.78
  6. Step 6: Final answer
    x = 169,483.22

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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.