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Finding the Fourth Proportional to 245,137.60, 367,662.56 and 65,224

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Solution

The fourth proportional to 245,137.60, 367,662.56 and 65,224 is: 97,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,137.60 : 367,662.56 = 65,224 : x
  2. Step 2: Convert to fraction form
    245,137.60/367,662.56 = 65,224/x
  3. Step 3: Cross multiply
    245,137.60x = 367,662.56 × 65,224
  4. Step 4: Simplify right side
    245,137.60x = 23,980,422,813.44
  5. Step 5: Solve for x
    x = 23,980,422,813.44/245,137.60
  6. Step 6: Final answer
    x = 97,824.34

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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.