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Finding the Fourth Proportional to 149,275.38, 206,262.32 and 119,308

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Solution

The fourth proportional to 149,275.38, 206,262.32 and 119,308 is: 164,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,275.38 : 206,262.32 = 119,308 : x
  2. Step 2: Convert to fraction form
    149,275.38/206,262.32 = 119,308/x
  3. Step 3: Cross multiply
    149,275.38x = 206,262.32 × 119,308
  4. Step 4: Simplify right side
    149,275.38x = 24,608,744,874.56
  5. Step 5: Solve for x
    x = 24,608,744,874.56/149,275.38
  6. Step 6: Final answer
    x = 164,854.68

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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.