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Finding the Fourth Proportional to 146,013.40, 219,027.30 and 76,029.40

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Solution

The fourth proportional to 146,013.40, 219,027.30 and 76,029.40 is: 114,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,013.40 : 219,027.30 = 76,029.40 : x
  2. Step 2: Convert to fraction form
    146,013.40/219,027.30 = 76,029.40/x
  3. Step 3: Cross multiply
    146,013.40x = 219,027.30 × 76,029.40
  4. Step 4: Simplify right side
    146,013.40x = 16,652,514,202.62
  5. Step 5: Solve for x
    x = 16,652,514,202.62/146,013.40
  6. Step 6: Final answer
    x = 114,047.85

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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.