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Finding the Fourth Proportional to 218,409.81, 301,355.69 and 122,881.65

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Solution

The fourth proportional to 218,409.81, 301,355.69 and 122,881.65 is: 169,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,409.81 : 301,355.69 = 122,881.65 : x
  2. Step 2: Convert to fraction form
    218,409.81/301,355.69 = 122,881.65/x
  3. Step 3: Cross multiply
    218,409.81x = 301,355.69 × 122,881.65
  4. Step 4: Simplify right side
    218,409.81x = 37,031,083,809.68
  5. Step 5: Solve for x
    x = 37,031,083,809.68/218,409.81
  6. Step 6: Final answer
    x = 169,548.63

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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.