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Finding the Fourth Proportional to 146,911, 202,738.80 and 79,843

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Solution

The fourth proportional to 146,911, 202,738.80 and 79,843 is: 110,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,911 : 202,738.80 = 79,843 : x
  2. Step 2: Convert to fraction form
    146,911/202,738.80 = 79,843/x
  3. Step 3: Cross multiply
    146,911x = 202,738.80 × 79,843
  4. Step 4: Simplify right side
    146,911x = 16,187,274,008.40
  5. Step 5: Solve for x
    x = 16,187,274,008.40/146,911
  6. Step 6: Final answer
    x = 110,184.22

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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.