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Finding the Fourth Proportional to 226,010.24, 311,954.64 and 141,076.16

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Solution

The fourth proportional to 226,010.24, 311,954.64 and 141,076.16 is: 194,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,010.24 : 311,954.64 = 141,076.16 : x
  2. Step 2: Convert to fraction form
    226,010.24/311,954.64 = 141,076.16/x
  3. Step 3: Cross multiply
    226,010.24x = 311,954.64 × 141,076.16
  4. Step 4: Simplify right side
    226,010.24x = 44,009,362,705.38
  5. Step 5: Solve for x
    x = 44,009,362,705.38/226,010.24
  6. Step 6: Final answer
    x = 194,722.87

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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.