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Finding the Fourth Proportional to 213,224.76, 319,725.36 and 106,494.30

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Solution

The fourth proportional to 213,224.76, 319,725.36 and 106,494.30 is: 159,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,224.76 : 319,725.36 = 106,494.30 : x
  2. Step 2: Convert to fraction form
    213,224.76/319,725.36 = 106,494.30/x
  3. Step 3: Cross multiply
    213,224.76x = 319,725.36 × 106,494.30
  4. Step 4: Simplify right side
    213,224.76x = 34,048,928,405.45
  5. Step 5: Solve for x
    x = 34,048,928,405.45/213,224.76
  6. Step 6: Final answer
    x = 159,685.62

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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.