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Finding the Fourth Proportional to 202,915.92, 304,438.68 and 97,745.52

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Solution

The fourth proportional to 202,915.92, 304,438.68 and 97,745.52 is: 146,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,915.92 : 304,438.68 = 97,745.52 : x
  2. Step 2: Convert to fraction form
    202,915.92/304,438.68 = 97,745.52/x
  3. Step 3: Cross multiply
    202,915.92x = 304,438.68 × 97,745.52
  4. Step 4: Simplify right side
    202,915.92x = 29,757,517,084.71
  5. Step 5: Solve for x
    x = 29,757,517,084.71/202,915.92
  6. Step 6: Final answer
    x = 146,649.49

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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.