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Finding the Fourth Proportional to 217,853.50, 326,780.26 and 70,109.50

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Solution

The fourth proportional to 217,853.50, 326,780.26 and 70,109.50 is: 105,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,853.50 : 326,780.26 = 70,109.50 : x
  2. Step 2: Convert to fraction form
    217,853.50/326,780.26 = 70,109.50/x
  3. Step 3: Cross multiply
    217,853.50x = 326,780.26 × 70,109.50
  4. Step 4: Simplify right side
    217,853.50x = 22,910,400,638.47
  5. Step 5: Solve for x
    x = 22,910,400,638.47/217,853.50
  6. Step 6: Final answer
    x = 105,164.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.