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Finding the Fourth Proportional to 213,228.78, 294,247.86 and 117,733.44

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Solution

The fourth proportional to 213,228.78, 294,247.86 and 117,733.44 is: 162,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,228.78 : 294,247.86 = 117,733.44 : x
  2. Step 2: Convert to fraction form
    213,228.78/294,247.86 = 117,733.44/x
  3. Step 3: Cross multiply
    213,228.78x = 294,247.86 × 117,733.44
  4. Step 4: Simplify right side
    213,228.78x = 34,642,812,770.44
  5. Step 5: Solve for x
    x = 34,642,812,770.44/213,228.78
  6. Step 6: Final answer
    x = 162,467.81

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1.5x scale

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.