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Finding the Fourth Proportional to 134,847, 202,302.90 and 51,741

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Solution

The fourth proportional to 134,847, 202,302.90 and 51,741 is: 77,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,847 : 202,302.90 = 51,741 : x
  2. Step 2: Convert to fraction form
    134,847/202,302.90 = 51,741/x
  3. Step 3: Cross multiply
    134,847x = 202,302.90 × 51,741
  4. Step 4: Simplify right side
    134,847x = 10,467,354,348.90
  5. Step 5: Solve for x
    x = 10,467,354,348.90/134,847
  6. Step 6: Final answer
    x = 77,623.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.