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Finding the Fourth Proportional to 224,222.82, 309,237.12 and 189,467.74

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Solution

The fourth proportional to 224,222.82, 309,237.12 and 189,467.74 is: 261,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,222.82 : 309,237.12 = 189,467.74 : x
  2. Step 2: Convert to fraction form
    224,222.82/309,237.12 = 189,467.74/x
  3. Step 3: Cross multiply
    224,222.82x = 309,237.12 × 189,467.74
  4. Step 4: Simplify right side
    224,222.82x = 58,590,458,250.51
  5. Step 5: Solve for x
    x = 58,590,458,250.51/224,222.82
  6. Step 6: Final answer
    x = 261,304.62

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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.