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Finding the Fourth Proportional to 223,878.20, 335,606.16 and 111,452

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Solution

The fourth proportional to 223,878.20, 335,606.16 and 111,452 is: 167,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,878.20 : 335,606.16 = 111,452 : x
  2. Step 2: Convert to fraction form
    223,878.20/335,606.16 = 111,452/x
  3. Step 3: Cross multiply
    223,878.20x = 335,606.16 × 111,452
  4. Step 4: Simplify right side
    223,878.20x = 37,403,977,744.32
  5. Step 5: Solve for x
    x = 37,403,977,744.32/223,878.20
  6. Step 6: Final answer
    x = 167,072.89

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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.