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Finding the Fourth Proportional to 181,472.94, 250,396.11 and 106,006.86

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Solution

The fourth proportional to 181,472.94, 250,396.11 and 106,006.86 is: 146,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,472.94 : 250,396.11 = 106,006.86 : x
  2. Step 2: Convert to fraction form
    181,472.94/250,396.11 = 106,006.86/x
  3. Step 3: Cross multiply
    181,472.94x = 250,396.11 × 106,006.86
  4. Step 4: Simplify right side
    181,472.94x = 26,543,705,377.31
  5. Step 5: Solve for x
    x = 26,543,705,377.31/181,472.94
  6. Step 6: Final answer
    x = 146,268.12

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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.