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Finding the Fourth Proportional to 208,945.92, 288,124.92 and 148,453.56

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Solution

The fourth proportional to 208,945.92, 288,124.92 and 148,453.56 is: 204,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,945.92 : 288,124.92 = 148,453.56 : x
  2. Step 2: Convert to fraction form
    208,945.92/288,124.92 = 148,453.56/x
  3. Step 3: Cross multiply
    208,945.92x = 288,124.92 × 148,453.56
  4. Step 4: Simplify right side
    208,945.92x = 42,773,170,098.72
  5. Step 5: Solve for x
    x = 42,773,170,098.72/208,945.92
  6. Step 6: Final answer
    x = 204,709.29

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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.