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Finding the Fourth Proportional to 200,136.90, 299,476.35 and 147,648.90

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Solution

The fourth proportional to 200,136.90, 299,476.35 and 147,648.90 is: 220,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,136.90 : 299,476.35 = 147,648.90 : x
  2. Step 2: Convert to fraction form
    200,136.90/299,476.35 = 147,648.90/x
  3. Step 3: Cross multiply
    200,136.90x = 299,476.35 × 147,648.90
  4. Step 4: Simplify right side
    200,136.90x = 44,217,353,653.52
  5. Step 5: Solve for x
    x = 44,217,353,653.52/200,136.90
  6. Step 6: Final answer
    x = 220,935.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.