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Finding the Fourth Proportional to 301,136.24, 415,565.18 and 165,167.42

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Solution

The fourth proportional to 301,136.24, 415,565.18 and 165,167.42 is: 227,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,136.24 : 415,565.18 = 165,167.42 : x
  2. Step 2: Convert to fraction form
    301,136.24/415,565.18 = 165,167.42/x
  3. Step 3: Cross multiply
    301,136.24x = 415,565.18 × 165,167.42
  4. Step 4: Simplify right side
    301,136.24x = 68,637,828,622.44
  5. Step 5: Solve for x
    x = 68,637,828,622.44/301,136.24
  6. Step 6: Final answer
    x = 227,929.49

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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.