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Finding the Fourth Proportional to 213,647.91, 294,159.24 and 188,136.96

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Solution

The fourth proportional to 213,647.91, 294,159.24 and 188,136.96 is: 259,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,647.91 : 294,159.24 = 188,136.96 : x
  2. Step 2: Convert to fraction form
    213,647.91/294,159.24 = 188,136.96/x
  3. Step 3: Cross multiply
    213,647.91x = 294,159.24 × 188,136.96
  4. Step 4: Simplify right side
    213,647.91x = 55,342,225,169.51
  5. Step 5: Solve for x
    x = 55,342,225,169.51/213,647.91
  6. Step 6: Final answer
    x = 259,034.71

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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.