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Finding the Fourth Proportional to 146,211.40, 219,317.10 and 76,227.40

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Solution

The fourth proportional to 146,211.40, 219,317.10 and 76,227.40 is: 114,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,211.40 : 219,317.10 = 76,227.40 : x
  2. Step 2: Convert to fraction form
    146,211.40/219,317.10 = 76,227.40/x
  3. Step 3: Cross multiply
    146,211.40x = 219,317.10 × 76,227.40
  4. Step 4: Simplify right side
    146,211.40x = 16,717,972,308.54
  5. Step 5: Solve for x
    x = 16,717,972,308.54/146,211.40
  6. Step 6: Final answer
    x = 114,341.10

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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.