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Finding the Fourth Proportional to 261,929.96, 361,361.22 and 148,737.32

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Solution

The fourth proportional to 261,929.96, 361,361.22 and 148,737.32 is: 205,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,929.96 : 361,361.22 = 148,737.32 : x
  2. Step 2: Convert to fraction form
    261,929.96/361,361.22 = 148,737.32/x
  3. Step 3: Cross multiply
    261,929.96x = 361,361.22 × 148,737.32
  4. Step 4: Simplify right side
    261,929.96x = 53,747,899,414.73
  5. Step 5: Solve for x
    x = 53,747,899,414.73/261,929.96
  6. Step 6: Final answer
    x = 205,199.51

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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.