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Finding the Fourth Proportional to 214,527.33, 321,843.02 and 64,758.67

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Solution

The fourth proportional to 214,527.33, 321,843.02 and 64,758.67 is: 97,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,527.33 : 321,843.02 = 64,758.67 : x
  2. Step 2: Convert to fraction form
    214,527.33/321,843.02 = 64,758.67/x
  3. Step 3: Cross multiply
    214,527.33x = 321,843.02 × 64,758.67
  4. Step 4: Simplify right side
    214,527.33x = 20,842,126,970.22
  5. Step 5: Solve for x
    x = 20,842,126,970.22/214,527.33
  6. Step 6: Final answer
    x = 97,153.71

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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.