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Finding the Fourth Proportional to 301,194.94, 415,654.55 and 165,235.84

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Solution

The fourth proportional to 301,194.94, 415,654.55 and 165,235.84 is: 228,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,194.94 : 415,654.55 = 165,235.84 : x
  2. Step 2: Convert to fraction form
    301,194.94/415,654.55 = 165,235.84/x
  3. Step 3: Cross multiply
    301,194.94x = 415,654.55 × 165,235.84
  4. Step 4: Simplify right side
    301,194.94x = 68,681,028,719.07
  5. Step 5: Solve for x
    x = 68,681,028,719.07/301,194.94
  6. Step 6: Final answer
    x = 228,028.49

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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.