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Finding the Fourth Proportional to 298,675.26, 412,171.74 and 164,539.26

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Solution

The fourth proportional to 298,675.26, 412,171.74 and 164,539.26 is: 227,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,675.26 : 412,171.74 = 164,539.26 : x
  2. Step 2: Convert to fraction form
    298,675.26/412,171.74 = 164,539.26/x
  3. Step 3: Cross multiply
    298,675.26x = 412,171.74 × 164,539.26
  4. Step 4: Simplify right side
    298,675.26x = 67,818,433,092.51
  5. Step 5: Solve for x
    x = 67,818,433,092.51/298,675.26
  6. Step 6: Final answer
    x = 227,064.11

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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.