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Finding the Fourth Proportional to 213,213.60, 319,819.77 and 86,824.08

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Solution

The fourth proportional to 213,213.60, 319,819.77 and 86,824.08 is: 130,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,213.60 : 319,819.77 = 86,824.08 : x
  2. Step 2: Convert to fraction form
    213,213.60/319,819.77 = 86,824.08/x
  3. Step 3: Cross multiply
    213,213.60x = 319,819.77 × 86,824.08
  4. Step 4: Simplify right side
    213,213.60x = 27,768,057,296.06
  5. Step 5: Solve for x
    x = 27,768,057,296.06/213,213.60
  6. Step 6: Final answer
    x = 130,235.86

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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.