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Finding the Fourth Proportional to 223,104.61, 307,770.28 and 142,447.33

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Solution

The fourth proportional to 223,104.61, 307,770.28 and 142,447.33 is: 196,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,104.61 : 307,770.28 = 142,447.33 : x
  2. Step 2: Convert to fraction form
    223,104.61/307,770.28 = 142,447.33/x
  3. Step 3: Cross multiply
    223,104.61x = 307,770.28 × 142,447.33
  4. Step 4: Simplify right side
    223,104.61x = 43,841,054,639.35
  5. Step 5: Solve for x
    x = 43,841,054,639.35/223,104.61
  6. Step 6: Final answer
    x = 196,504.48

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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.