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Finding the Fourth Proportional to 133,053, 199,587.78 and 44,314.44

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Solution

The fourth proportional to 133,053, 199,587.78 and 44,314.44 is: 66,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,053 : 199,587.78 = 44,314.44 : x
  2. Step 2: Convert to fraction form
    133,053/199,587.78 = 44,314.44/x
  3. Step 3: Cross multiply
    133,053x = 199,587.78 × 44,314.44
  4. Step 4: Simplify right side
    133,053x = 8,844,620,701.54
  5. Step 5: Solve for x
    x = 8,844,620,701.54/133,053
  6. Step 6: Final answer
    x = 66,474.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.