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Finding the Fourth Proportional to 303,096.42, 418,264.83 and 167,128.20

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Solution

The fourth proportional to 303,096.42, 418,264.83 and 167,128.20 is: 230,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,096.42 : 418,264.83 = 167,128.20 : x
  2. Step 2: Convert to fraction form
    303,096.42/418,264.83 = 167,128.20/x
  3. Step 3: Cross multiply
    303,096.42x = 418,264.83 × 167,128.20
  4. Step 4: Simplify right side
    303,096.42x = 69,903,848,161.21
  5. Step 5: Solve for x
    x = 69,903,848,161.21/303,096.42
  6. Step 6: Final answer
    x = 230,632.38

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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.