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Finding the Fourth Proportional to 150,916.68, 208,205.37 and 97,233.03

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Solution

The fourth proportional to 150,916.68, 208,205.37 and 97,233.03 is: 134,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,916.68 : 208,205.37 = 97,233.03 : x
  2. Step 2: Convert to fraction form
    150,916.68/208,205.37 = 97,233.03/x
  3. Step 3: Cross multiply
    150,916.68x = 208,205.37 × 97,233.03
  4. Step 4: Simplify right side
    150,916.68x = 20,244,438,987.37
  5. Step 5: Solve for x
    x = 20,244,438,987.37/150,916.68
  6. Step 6: Final answer
    x = 134,143.15

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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.