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Finding the Fourth Proportional to 228,592.38, 315,611.59 and 142,682.21

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Solution

The fourth proportional to 228,592.38, 315,611.59 and 142,682.21 is: 196,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,592.38 : 315,611.59 = 142,682.21 : x
  2. Step 2: Convert to fraction form
    228,592.38/315,611.59 = 142,682.21/x
  3. Step 3: Cross multiply
    228,592.38x = 315,611.59 × 142,682.21
  4. Step 4: Simplify right side
    228,592.38x = 45,032,158,679.12
  5. Step 5: Solve for x
    x = 45,032,158,679.12/228,592.38
  6. Step 6: Final answer
    x = 196,997.64

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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.