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Finding the Fourth Proportional to 295,715.91, 408,096.36 and 164,896.57

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Solution

The fourth proportional to 295,715.91, 408,096.36 and 164,896.57 is: 227,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,715.91 : 408,096.36 = 164,896.57 : x
  2. Step 2: Convert to fraction form
    295,715.91/408,096.36 = 164,896.57/x
  3. Step 3: Cross multiply
    295,715.91x = 408,096.36 × 164,896.57
  4. Step 4: Simplify right side
    295,715.91x = 67,293,690,599.23
  5. Step 5: Solve for x
    x = 67,293,690,599.23/295,715.91
  6. Step 6: Final answer
    x = 227,561.96

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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.