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Finding the Fourth Proportional to 224,907.57, 310,363.31 and 133,086.38

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Solution

The fourth proportional to 224,907.57, 310,363.31 and 133,086.38 is: 183,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,907.57 : 310,363.31 = 133,086.38 : x
  2. Step 2: Convert to fraction form
    224,907.57/310,363.31 = 133,086.38/x
  3. Step 3: Cross multiply
    224,907.57x = 310,363.31 × 133,086.38
  4. Step 4: Simplify right side
    224,907.57x = 41,305,128,193.62
  5. Step 5: Solve for x
    x = 41,305,128,193.62/224,907.57
  6. Step 6: Final answer
    x = 183,653.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.