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Finding the Fourth Proportional to 213,880.38, 295,134.72 and 127,822.25

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Solution

The fourth proportional to 213,880.38, 295,134.72 and 127,822.25 is: 176,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,880.38 : 295,134.72 = 127,822.25 : x
  2. Step 2: Convert to fraction form
    213,880.38/295,134.72 = 127,822.25/x
  3. Step 3: Cross multiply
    213,880.38x = 295,134.72 × 127,822.25
  4. Step 4: Simplify right side
    213,880.38x = 37,724,782,487.85
  5. Step 5: Solve for x
    x = 37,724,782,487.85/213,880.38
  6. Step 6: Final answer
    x = 176,382.62

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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.