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Finding the Fourth Proportional to 301,035.99, 415,089.16 and 191,994.48

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Solution

The fourth proportional to 301,035.99, 415,089.16 and 191,994.48 is: 264,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,035.99 : 415,089.16 = 191,994.48 : x
  2. Step 2: Convert to fraction form
    301,035.99/415,089.16 = 191,994.48/x
  3. Step 3: Cross multiply
    301,035.99x = 415,089.16 × 191,994.48
  4. Step 4: Simplify right side
    301,035.99x = 79,694,826,947.85
  5. Step 5: Solve for x
    x = 79,694,826,947.85/301,035.99
  6. Step 6: Final answer
    x = 264,735.21

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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.