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Finding the Fourth Proportional to 264,098.24, 364,455 and 143,238.90

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Solution

The fourth proportional to 264,098.24, 364,455 and 143,238.90 is: 197,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,098.24 : 364,455 = 143,238.90 : x
  2. Step 2: Convert to fraction form
    264,098.24/364,455 = 143,238.90/x
  3. Step 3: Cross multiply
    264,098.24x = 364,455 × 143,238.90
  4. Step 4: Simplify right side
    264,098.24x = 52,204,133,299.50
  5. Step 5: Solve for x
    x = 52,204,133,299.50/264,098.24
  6. Step 6: Final answer
    x = 197,669.37

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1.5x scale

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.