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Finding the Fourth Proportional to 218,946.34, 301,986.38 and 167,379.98

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Solution

The fourth proportional to 218,946.34, 301,986.38 and 167,379.98 is: 230,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,946.34 : 301,986.38 = 167,379.98 : x
  2. Step 2: Convert to fraction form
    218,946.34/301,986.38 = 167,379.98/x
  3. Step 3: Cross multiply
    218,946.34x = 301,986.38 × 167,379.98
  4. Step 4: Simplify right side
    218,946.34x = 50,546,474,244.67
  5. Step 5: Solve for x
    x = 50,546,474,244.67/218,946.34
  6. Step 6: Final answer
    x = 230,862.39

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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.