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Finding the Fourth Proportional to 264,912.68, 365,583.84 and 144,056.36

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Solution

The fourth proportional to 264,912.68, 365,583.84 and 144,056.36 is: 198,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,912.68 : 365,583.84 = 144,056.36 : x
  2. Step 2: Convert to fraction form
    264,912.68/365,583.84 = 144,056.36/x
  3. Step 3: Cross multiply
    264,912.68x = 365,583.84 × 144,056.36
  4. Step 4: Simplify right side
    264,912.68x = 52,664,677,265.22
  5. Step 5: Solve for x
    x = 52,664,677,265.22/264,912.68
  6. Step 6: Final answer
    x = 198,800.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.