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Finding the Fourth Proportional to 164,723, 227,342.14 and 104,299.26

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Solution

The fourth proportional to 164,723, 227,342.14 and 104,299.26 is: 143,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,723 : 227,342.14 = 104,299.26 : x
  2. Step 2: Convert to fraction form
    164,723/227,342.14 = 104,299.26/x
  3. Step 3: Cross multiply
    164,723x = 227,342.14 × 104,299.26
  4. Step 4: Simplify right side
    164,723x = 23,711,616,968.82
  5. Step 5: Solve for x
    x = 23,711,616,968.82/164,723
  6. Step 6: Final answer
    x = 143,948.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.