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Finding the Fourth Proportional to 208,266.40, 312,545.40 and 90,022.60

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Solution

The fourth proportional to 208,266.40, 312,545.40 and 90,022.60 is: 135,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,266.40 : 312,545.40 = 90,022.60 : x
  2. Step 2: Convert to fraction form
    208,266.40/312,545.40 = 90,022.60/x
  3. Step 3: Cross multiply
    208,266.40x = 312,545.40 × 90,022.60
  4. Step 4: Simplify right side
    208,266.40x = 28,136,149,526.04
  5. Step 5: Solve for x
    x = 28,136,149,526.04/208,266.40
  6. Step 6: Final answer
    x = 135,096.92

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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.