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Finding the Fourth Proportional to 210,477.74, 290,238.26 and 138,766

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Solution

The fourth proportional to 210,477.74, 290,238.26 and 138,766 is: 191,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,477.74 : 290,238.26 = 138,766 : x
  2. Step 2: Convert to fraction form
    210,477.74/290,238.26 = 138,766/x
  3. Step 3: Cross multiply
    210,477.74x = 290,238.26 × 138,766
  4. Step 4: Simplify right side
    210,477.74x = 40,275,202,387.16
  5. Step 5: Solve for x
    x = 40,275,202,387.16/210,477.74
  6. Step 6: Final answer
    x = 191,351.36

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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.