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Finding the Fourth Proportional to 264,451, 364,852.25 and 169,012.75

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Solution

The fourth proportional to 264,451, 364,852.25 and 169,012.75 is: 233,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,451 : 364,852.25 = 169,012.75 : x
  2. Step 2: Convert to fraction form
    264,451/364,852.25 = 169,012.75/x
  3. Step 3: Cross multiply
    264,451x = 364,852.25 × 169,012.75
  4. Step 4: Simplify right side
    264,451x = 61,664,682,116.19
  5. Step 5: Solve for x
    x = 61,664,682,116.19/264,451
  6. Step 6: Final answer
    x = 233,179.99

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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.