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Finding the Fourth Proportional to 213,195.14, 319,788.31 and 71,050.73

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Solution

The fourth proportional to 213,195.14, 319,788.31 and 71,050.73 is: 106,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,195.14 : 319,788.31 = 71,050.73 : x
  2. Step 2: Convert to fraction form
    213,195.14/319,788.31 = 71,050.73/x
  3. Step 3: Cross multiply
    213,195.14x = 319,788.31 × 71,050.73
  4. Step 4: Simplify right side
    213,195.14x = 22,721,192,515.71
  5. Step 5: Solve for x
    x = 22,721,192,515.71/213,195.14
  6. Step 6: Final answer
    x = 106,574.63

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1.5x scale

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.