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Finding the Fourth Proportional to 146,664, 202,392 and 79,596

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Solution

The fourth proportional to 146,664, 202,392 and 79,596 is: 109,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,664 : 202,392 = 79,596 : x
  2. Step 2: Convert to fraction form
    146,664/202,392 = 79,596/x
  3. Step 3: Cross multiply
    146,664x = 202,392 × 79,596
  4. Step 4: Simplify right side
    146,664x = 16,109,593,632
  5. Step 5: Solve for x
    x = 16,109,593,632/146,664
  6. Step 6: Final answer
    x = 109,840.14

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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.