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Finding the Fourth Proportional to 264,722.85, 365,319.84 and 143,864.12

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Solution

The fourth proportional to 264,722.85, 365,319.84 and 143,864.12 is: 198,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,722.85 : 365,319.84 = 143,864.12 : x
  2. Step 2: Convert to fraction form
    264,722.85/365,319.84 = 143,864.12/x
  3. Step 3: Cross multiply
    264,722.85x = 365,319.84 × 143,864.12
  4. Step 4: Simplify right side
    264,722.85x = 52,556,415,473.54
  5. Step 5: Solve for x
    x = 52,556,415,473.54/264,722.85
  6. Step 6: Final answer
    x = 198,533.73

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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.