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Finding the Fourth Proportional to 210,698.42, 290,842.89 and 138,105.99

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Solution

The fourth proportional to 210,698.42, 290,842.89 and 138,105.99 is: 190,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,698.42 : 290,842.89 = 138,105.99 : x
  2. Step 2: Convert to fraction form
    210,698.42/290,842.89 = 138,105.99/x
  3. Step 3: Cross multiply
    210,698.42x = 290,842.89 × 138,105.99
  4. Step 4: Simplify right side
    210,698.42x = 40,167,145,257.91
  5. Step 5: Solve for x
    x = 40,167,145,257.91/210,698.42
  6. Step 6: Final answer
    x = 190,638.09

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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.