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Finding the Fourth Proportional to 301,891.69, 452,809.77 and 102,189.25

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Solution

The fourth proportional to 301,891.69, 452,809.77 and 102,189.25 is: 153,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,891.69 : 452,809.77 = 102,189.25 : x
  2. Step 2: Convert to fraction form
    301,891.69/452,809.77 = 102,189.25/x
  3. Step 3: Cross multiply
    301,891.69x = 452,809.77 × 102,189.25
  4. Step 4: Simplify right side
    301,891.69x = 46,272,290,788.97
  5. Step 5: Solve for x
    x = 46,272,290,788.97/301,891.69
  6. Step 6: Final answer
    x = 153,274.48

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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.