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Finding the Fourth Proportional to 293,173, 404,611.14 and 165,847.48

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Solution

The fourth proportional to 293,173, 404,611.14 and 165,847.48 is: 228,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,173 : 404,611.14 = 165,847.48 : x
  2. Step 2: Convert to fraction form
    293,173/404,611.14 = 165,847.48/x
  3. Step 3: Cross multiply
    293,173x = 404,611.14 × 165,847.48
  4. Step 4: Simplify right side
    293,173x = 67,103,737,948.93
  5. Step 5: Solve for x
    x = 67,103,737,948.93/293,173
  6. Step 6: Final answer
    x = 228,887.85

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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.