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Finding the Fourth Proportional to 301,269.56, 415,737.94 and 165,300.44

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Solution

The fourth proportional to 301,269.56, 415,737.94 and 165,300.44 is: 228,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,269.56 : 415,737.94 = 165,300.44 : x
  2. Step 2: Convert to fraction form
    301,269.56/415,737.94 = 165,300.44/x
  3. Step 3: Cross multiply
    301,269.56x = 415,737.94 × 165,300.44
  4. Step 4: Simplify right side
    301,269.56x = 68,721,664,406.69
  5. Step 5: Solve for x
    x = 68,721,664,406.69/301,269.56
  6. Step 6: Final answer
    x = 228,106.90

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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.