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Finding the Fourth Proportional to 214,984.80, 322,394.22 and 70,856.01

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Solution

The fourth proportional to 214,984.80, 322,394.22 and 70,856.01 is: 106,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,984.80 : 322,394.22 = 70,856.01 : x
  2. Step 2: Convert to fraction form
    214,984.80/322,394.22 = 70,856.01/x
  3. Step 3: Cross multiply
    214,984.80x = 322,394.22 × 70,856.01
  4. Step 4: Simplify right side
    214,984.80x = 22,843,568,076.26
  5. Step 5: Solve for x
    x = 22,843,568,076.26/214,984.80
  6. Step 6: Final answer
    x = 106,256.67

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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.