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Finding the Fourth Proportional to 241,416.80, 361,736.40 and 201,759.20

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Solution

The fourth proportional to 241,416.80, 361,736.40 and 201,759.20 is: 302,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,416.80 : 361,736.40 = 201,759.20 : x
  2. Step 2: Convert to fraction form
    241,416.80/361,736.40 = 201,759.20/x
  3. Step 3: Cross multiply
    241,416.80x = 361,736.40 × 201,759.20
  4. Step 4: Simplify right side
    241,416.80x = 72,983,646,674.88
  5. Step 5: Solve for x
    x = 72,983,646,674.88/241,416.80
  6. Step 6: Final answer
    x = 302,313.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.