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Finding the Fourth Proportional to 298,237.75, 411,568.10 and 164,101.75

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Solution

The fourth proportional to 298,237.75, 411,568.10 and 164,101.75 is: 226,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,237.75 : 411,568.10 = 164,101.75 : x
  2. Step 2: Convert to fraction form
    298,237.75/411,568.10 = 164,101.75/x
  3. Step 3: Cross multiply
    298,237.75x = 411,568.10 × 164,101.75
  4. Step 4: Simplify right side
    298,237.75x = 67,539,045,454.18
  5. Step 5: Solve for x
    x = 67,539,045,454.18/298,237.75
  6. Step 6: Final answer
    x = 226,460.42

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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.