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Finding the Fourth Proportional to 264,536.94, 365,065.30 and 143,678.28

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Solution

The fourth proportional to 264,536.94, 365,065.30 and 143,678.28 is: 198,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,536.94 : 365,065.30 = 143,678.28 : x
  2. Step 2: Convert to fraction form
    264,536.94/365,065.30 = 143,678.28/x
  3. Step 3: Cross multiply
    264,536.94x = 365,065.30 × 143,678.28
  4. Step 4: Simplify right side
    264,536.94x = 52,451,954,391.68
  5. Step 5: Solve for x
    x = 52,451,954,391.68/264,536.94
  6. Step 6: Final answer
    x = 198,278.37

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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.