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Finding the Fourth Proportional to 210,711.66, 290,782.08 and 115,218.42

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Solution

The fourth proportional to 210,711.66, 290,782.08 and 115,218.42 is: 159,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,711.66 : 290,782.08 = 115,218.42 : x
  2. Step 2: Convert to fraction form
    210,711.66/290,782.08 = 115,218.42/x
  3. Step 3: Cross multiply
    210,711.66x = 290,782.08 × 115,218.42
  4. Step 4: Simplify right side
    210,711.66x = 33,503,451,821.91
  5. Step 5: Solve for x
    x = 33,503,451,821.91/210,711.66
  6. Step 6: Final answer
    x = 159,001.41

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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.