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Finding the Fourth Proportional to 146,362.52, 219,585.94 and 71,525.80

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Solution

The fourth proportional to 146,362.52, 219,585.94 and 71,525.80 is: 107,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,362.52 : 219,585.94 = 71,525.80 : x
  2. Step 2: Convert to fraction form
    146,362.52/219,585.94 = 71,525.80/x
  3. Step 3: Cross multiply
    146,362.52x = 219,585.94 × 71,525.80
  4. Step 4: Simplify right side
    146,362.52x = 15,706,060,027.25
  5. Step 5: Solve for x
    x = 15,706,060,027.25/146,362.52
  6. Step 6: Final answer
    x = 107,309.30

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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.