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Finding the Fourth Proportional to 285,136.33, 393,444.24 and 164,254

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Solution

The fourth proportional to 285,136.33, 393,444.24 and 164,254 is: 226,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,136.33 : 393,444.24 = 164,254 : x
  2. Step 2: Convert to fraction form
    285,136.33/393,444.24 = 164,254/x
  3. Step 3: Cross multiply
    285,136.33x = 393,444.24 × 164,254
  4. Step 4: Simplify right side
    285,136.33x = 64,624,790,196.96
  5. Step 5: Solve for x
    x = 64,624,790,196.96/285,136.33
  6. Step 6: Final answer
    x = 226,645.23

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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.