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Finding the Fourth Proportional to 181,813.86, 250,902.09 and 106,360.74

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Solution

The fourth proportional to 181,813.86, 250,902.09 and 106,360.74 is: 146,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,813.86 : 250,902.09 = 106,360.74 : x
  2. Step 2: Convert to fraction form
    181,813.86/250,902.09 = 106,360.74/x
  3. Step 3: Cross multiply
    181,813.86x = 250,902.09 × 106,360.74
  4. Step 4: Simplify right side
    181,813.86x = 26,686,131,959.95
  5. Step 5: Solve for x
    x = 26,686,131,959.95/181,813.86
  6. Step 6: Final answer
    x = 146,777.21

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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.