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Finding the Fourth Proportional to 301,136.51, 415,568.99 and 165,171.58

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Solution

The fourth proportional to 301,136.51, 415,568.99 and 165,171.58 is: 227,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,136.51 : 415,568.99 = 165,171.58 : x
  2. Step 2: Convert to fraction form
    301,136.51/415,568.99 = 165,171.58/x
  3. Step 3: Cross multiply
    301,136.51x = 415,568.99 × 165,171.58
  4. Step 4: Simplify right side
    301,136.51x = 68,640,186,051.31
  5. Step 5: Solve for x
    x = 68,640,186,051.31/301,136.51
  6. Step 6: Final answer
    x = 227,937.11

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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.