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Finding the Fourth Proportional to 218,913.30, 328,114.80 and 100,596.60

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Solution

The fourth proportional to 218,913.30, 328,114.80 and 100,596.60 is: 150,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,913.30 : 328,114.80 = 100,596.60 : x
  2. Step 2: Convert to fraction form
    218,913.30/328,114.80 = 100,596.60/x
  3. Step 3: Cross multiply
    218,913.30x = 328,114.80 × 100,596.60
  4. Step 4: Simplify right side
    218,913.30x = 33,007,233,289.68
  5. Step 5: Solve for x
    x = 33,007,233,289.68/218,913.30
  6. Step 6: Final answer
    x = 150,777.65

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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.