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Finding the Fourth Proportional to 146,178.54, 219,267.83 and 35,370.54

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Solution

The fourth proportional to 146,178.54, 219,267.83 and 35,370.54 is: 53,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,178.54 : 219,267.83 = 35,370.54 : x
  2. Step 2: Convert to fraction form
    146,178.54/219,267.83 = 35,370.54/x
  3. Step 3: Cross multiply
    146,178.54x = 219,267.83 × 35,370.54
  4. Step 4: Simplify right side
    146,178.54x = 7,755,621,374.88
  5. Step 5: Solve for x
    x = 7,755,621,374.88/146,178.54
  6. Step 6: Final answer
    x = 53,055.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.