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Finding the Fourth Proportional to 210,213.42, 290,100.92 and 119,582.52

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Solution

The fourth proportional to 210,213.42, 290,100.92 and 119,582.52 is: 165,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,213.42 : 290,100.92 = 119,582.52 : x
  2. Step 2: Convert to fraction form
    210,213.42/290,100.92 = 119,582.52/x
  3. Step 3: Cross multiply
    210,213.42x = 290,100.92 × 119,582.52
  4. Step 4: Simplify right side
    210,213.42x = 34,690,999,067.92
  5. Step 5: Solve for x
    x = 34,690,999,067.92/210,213.42
  6. Step 6: Final answer
    x = 165,027.52

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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.