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Finding the Fourth Proportional to 294,049.64, 441,100.77 and 114,130.85

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Solution

The fourth proportional to 294,049.64, 441,100.77 and 114,130.85 is: 171,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,049.64 : 441,100.77 = 114,130.85 : x
  2. Step 2: Convert to fraction form
    294,049.64/441,100.77 = 114,130.85/x
  3. Step 3: Cross multiply
    294,049.64x = 441,100.77 × 114,130.85
  4. Step 4: Simplify right side
    294,049.64x = 50,343,203,039.60
  5. Step 5: Solve for x
    x = 50,343,203,039.60/294,049.64
  6. Step 6: Final answer
    x = 171,206.48

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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.