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Finding the Fourth Proportional to 227,309.82, 340,952.36 and 69,538.28

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Solution

The fourth proportional to 227,309.82, 340,952.36 and 69,538.28 is: 104,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,309.82 : 340,952.36 = 69,538.28 : x
  2. Step 2: Convert to fraction form
    227,309.82/340,952.36 = 69,538.28/x
  3. Step 3: Cross multiply
    227,309.82x = 340,952.36 × 69,538.28
  4. Step 4: Simplify right side
    227,309.82x = 23,709,240,676.34
  5. Step 5: Solve for x
    x = 23,709,240,676.34/227,309.82
  6. Step 6: Final answer
    x = 104,303.64

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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.