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Finding the Fourth Proportional to 228,994.24, 315,866.64 and 165,425.44

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Solution

The fourth proportional to 228,994.24, 315,866.64 and 165,425.44 is: 228,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,994.24 : 315,866.64 = 165,425.44 : x
  2. Step 2: Convert to fraction form
    228,994.24/315,866.64 = 165,425.44/x
  3. Step 3: Cross multiply
    228,994.24x = 315,866.64 × 165,425.44
  4. Step 4: Simplify right side
    228,994.24x = 52,252,377,903.32
  5. Step 5: Solve for x
    x = 52,252,377,903.32/228,994.24
  6. Step 6: Final answer
    x = 228,182.06

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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.