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Finding the Fourth Proportional to 146,138.58, 219,076.23 and 52,578.50

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Solution

The fourth proportional to 146,138.58, 219,076.23 and 52,578.50 is: 78,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,138.58 : 219,076.23 = 52,578.50 : x
  2. Step 2: Convert to fraction form
    146,138.58/219,076.23 = 52,578.50/x
  3. Step 3: Cross multiply
    146,138.58x = 219,076.23 × 52,578.50
  4. Step 4: Simplify right side
    146,138.58x = 11,518,699,559.06
  5. Step 5: Solve for x
    x = 11,518,699,559.06/146,138.58
  6. Step 6: Final answer
    x = 78,820.39

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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.