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Finding the Fourth Proportional to 218,494.62, 301,551.32 and 123,019.92

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Solution

The fourth proportional to 218,494.62, 301,551.32 and 123,019.92 is: 169,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,494.62 : 301,551.32 = 123,019.92 : x
  2. Step 2: Convert to fraction form
    218,494.62/301,551.32 = 123,019.92/x
  3. Step 3: Cross multiply
    218,494.62x = 301,551.32 × 123,019.92
  4. Step 4: Simplify right side
    218,494.62x = 37,096,819,262.29
  5. Step 5: Solve for x
    x = 37,096,819,262.29/218,494.62
  6. Step 6: Final answer
    x = 169,783.67

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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.