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Finding the Fourth Proportional to 264,674, 365,250.12 and 145,442

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Solution

The fourth proportional to 264,674, 365,250.12 and 145,442 is: 200,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,674 : 365,250.12 = 145,442 : x
  2. Step 2: Convert to fraction form
    264,674/365,250.12 = 145,442/x
  3. Step 3: Cross multiply
    264,674x = 365,250.12 × 145,442
  4. Step 4: Simplify right side
    264,674x = 53,122,707,953.04
  5. Step 5: Solve for x
    x = 53,122,707,953.04/264,674
  6. Step 6: Final answer
    x = 200,709.96

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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.