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Finding the Fourth Proportional to 301,896.69, 452,817.27 and 102,194.25

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Solution

The fourth proportional to 301,896.69, 452,817.27 and 102,194.25 is: 153,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,896.69 : 452,817.27 = 102,194.25 : x
  2. Step 2: Convert to fraction form
    301,896.69/452,817.27 = 102,194.25/x
  3. Step 3: Cross multiply
    301,896.69x = 452,817.27 × 102,194.25
  4. Step 4: Simplify right side
    301,896.69x = 46,275,321,294.70
  5. Step 5: Solve for x
    x = 46,275,321,294.70/301,896.69
  6. Step 6: Final answer
    x = 153,281.98

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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.