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Finding the Fourth Proportional to 301,033.49, 451,234.14 and 101,284.53

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Solution

The fourth proportional to 301,033.49, 451,234.14 and 101,284.53 is: 151,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,033.49 : 451,234.14 = 101,284.53 : x
  2. Step 2: Convert to fraction form
    301,033.49/451,234.14 = 101,284.53/x
  3. Step 3: Cross multiply
    301,033.49x = 451,234.14 × 101,284.53
  4. Step 4: Simplify right side
    301,033.49x = 45,703,036,287.63
  5. Step 5: Solve for x
    x = 45,703,036,287.63/301,033.49
  6. Step 6: Final answer
    x = 151,820.44

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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.