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Finding the Fourth Proportional to 264,429, 364,912.02 and 145,197

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Solution

The fourth proportional to 264,429, 364,912.02 and 145,197 is: 200,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,429 : 364,912.02 = 145,197 : x
  2. Step 2: Convert to fraction form
    264,429/364,912.02 = 145,197/x
  3. Step 3: Cross multiply
    264,429x = 364,912.02 × 145,197
  4. Step 4: Simplify right side
    264,429x = 52,984,130,567.94
  5. Step 5: Solve for x
    x = 52,984,130,567.94/264,429
  6. Step 6: Final answer
    x = 200,371.86

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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.