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Finding the Fourth Proportional to 265,069.08, 365,791.44 and 144,211.44

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Solution

The fourth proportional to 265,069.08, 365,791.44 and 144,211.44 is: 199,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,069.08 : 365,791.44 = 144,211.44 : x
  2. Step 2: Convert to fraction form
    265,069.08/365,791.44 = 144,211.44/x
  3. Step 3: Cross multiply
    265,069.08x = 365,791.44 × 144,211.44
  4. Step 4: Simplify right side
    265,069.08x = 52,751,310,302.07
  5. Step 5: Solve for x
    x = 52,751,310,302.07/265,069.08
  6. Step 6: Final answer
    x = 199,009.67

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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.