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Finding the Fourth Proportional to 223,162.90, 334,747.06 and 65,394.54

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Solution

The fourth proportional to 223,162.90, 334,747.06 and 65,394.54 is: 98,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,162.90 : 334,747.06 = 65,394.54 : x
  2. Step 2: Convert to fraction form
    223,162.90/334,747.06 = 65,394.54/x
  3. Step 3: Cross multiply
    223,162.90x = 334,747.06 × 65,394.54
  4. Step 4: Simplify right side
    223,162.90x = 21,890,630,005.05
  5. Step 5: Solve for x
    x = 21,890,630,005.05/223,162.90
  6. Step 6: Final answer
    x = 98,092.60

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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.