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Finding the Fourth Proportional to 146,200.60, 218,912.10 and 93,323.80

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Solution

The fourth proportional to 146,200.60, 218,912.10 and 93,323.80 is: 139,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,200.60 : 218,912.10 = 93,323.80 : x
  2. Step 2: Convert to fraction form
    146,200.60/218,912.10 = 93,323.80/x
  3. Step 3: Cross multiply
    146,200.60x = 218,912.10 × 93,323.80
  4. Step 4: Simplify right side
    146,200.60x = 20,429,709,037.98
  5. Step 5: Solve for x
    x = 20,429,709,037.98/146,200.60
  6. Step 6: Final answer
    x = 139,737.52

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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.