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Finding the Fourth Proportional to 301,965.12, 453,071.84 and 133,396.48

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Solution

The fourth proportional to 301,965.12, 453,071.84 and 133,396.48 is: 200,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,965.12 : 453,071.84 = 133,396.48 : x
  2. Step 2: Convert to fraction form
    301,965.12/453,071.84 = 133,396.48/x
  3. Step 3: Cross multiply
    301,965.12x = 453,071.84 × 133,396.48
  4. Step 4: Simplify right side
    301,965.12x = 60,438,188,643.12
  5. Step 5: Solve for x
    x = 60,438,188,643.12/301,965.12
  6. Step 6: Final answer
    x = 200,149.57

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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.