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Finding the Fourth Proportional to 146,138.40, 219,121.20 and 76,154.40

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Solution

The fourth proportional to 146,138.40, 219,121.20 and 76,154.40 is: 114,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,138.40 : 219,121.20 = 76,154.40 : x
  2. Step 2: Convert to fraction form
    146,138.40/219,121.20 = 76,154.40/x
  3. Step 3: Cross multiply
    146,138.40x = 219,121.20 × 76,154.40
  4. Step 4: Simplify right side
    146,138.40x = 16,687,043,513.28
  5. Step 5: Solve for x
    x = 16,687,043,513.28/146,138.40
  6. Step 6: Final answer
    x = 114,186.58

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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.