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Finding the Fourth Proportional to 218,157.82, 326,902.76 and 146,816.52

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Solution

The fourth proportional to 218,157.82, 326,902.76 and 146,816.52 is: 220,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,157.82 : 326,902.76 = 146,816.52 : x
  2. Step 2: Convert to fraction form
    218,157.82/326,902.76 = 146,816.52/x
  3. Step 3: Cross multiply
    218,157.82x = 326,902.76 × 146,816.52
  4. Step 4: Simplify right side
    218,157.82x = 47,994,725,601.60
  5. Step 5: Solve for x
    x = 47,994,725,601.60/218,157.82
  6. Step 6: Final answer
    x = 220,000.02

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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.