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Finding the Fourth Proportional to 241,344.90, 361,536.21 and 188,506.98

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Solution

The fourth proportional to 241,344.90, 361,536.21 and 188,506.98 is: 282,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,344.90 : 361,536.21 = 188,506.98 : x
  2. Step 2: Convert to fraction form
    241,344.90/361,536.21 = 188,506.98/x
  3. Step 3: Cross multiply
    241,344.90x = 361,536.21 × 188,506.98
  4. Step 4: Simplify right side
    241,344.90x = 68,152,099,107.75
  5. Step 5: Solve for x
    x = 68,152,099,107.75/241,344.90
  6. Step 6: Final answer
    x = 282,384.67

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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.