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Finding the Fourth Proportional to 301,949.79, 416,692.07 and 165,992.50

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Solution

The fourth proportional to 301,949.79, 416,692.07 and 165,992.50 is: 229,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,949.79 : 416,692.07 = 165,992.50 : x
  2. Step 2: Convert to fraction form
    301,949.79/416,692.07 = 165,992.50/x
  3. Step 3: Cross multiply
    301,949.79x = 416,692.07 × 165,992.50
  4. Step 4: Simplify right side
    301,949.79x = 69,167,757,278.42
  5. Step 5: Solve for x
    x = 69,167,757,278.42/301,949.79
  6. Step 6: Final answer
    x = 229,070.39

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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.