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Finding the Fourth Proportional to 210,326.24, 290,029.24 and 138,614.52

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Solution

The fourth proportional to 210,326.24, 290,029.24 and 138,614.52 is: 191,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,326.24 : 290,029.24 = 138,614.52 : x
  2. Step 2: Convert to fraction form
    210,326.24/290,029.24 = 138,614.52/x
  3. Step 3: Cross multiply
    210,326.24x = 290,029.24 × 138,614.52
  4. Step 4: Simplify right side
    210,326.24x = 40,202,263,888.56
  5. Step 5: Solve for x
    x = 40,202,263,888.56/210,326.24
  6. Step 6: Final answer
    x = 191,142.41

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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.