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Finding the Fourth Proportional to 301,292.88, 415,770.28 and 165,323.52

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Solution

The fourth proportional to 301,292.88, 415,770.28 and 165,323.52 is: 228,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,292.88 : 415,770.28 = 165,323.52 : x
  2. Step 2: Convert to fraction form
    301,292.88/415,770.28 = 165,323.52/x
  3. Step 3: Cross multiply
    301,292.88x = 415,770.28 × 165,323.52
  4. Step 4: Simplify right side
    301,292.88x = 68,736,606,200.99
  5. Step 5: Solve for x
    x = 68,736,606,200.99/301,292.88
  6. Step 6: Final answer
    x = 228,138.83

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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.