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Finding the Fourth Proportional to 269,407, 371,774.55 and 148,546.27

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Solution

The fourth proportional to 269,407, 371,774.55 and 148,546.27 is: 204,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,407 : 371,774.55 = 148,546.27 : x
  2. Step 2: Convert to fraction form
    269,407/371,774.55 = 148,546.27/x
  3. Step 3: Cross multiply
    269,407x = 371,774.55 × 148,546.27
  4. Step 4: Simplify right side
    269,407x = 55,225,722,683.43
  5. Step 5: Solve for x
    x = 55,225,722,683.43/269,407
  6. Step 6: Final answer
    x = 204,989.93

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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.