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Finding the Fourth Proportional to 146,624, 202,342.20 and 79,556

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Solution

The fourth proportional to 146,624, 202,342.20 and 79,556 is: 109,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,624 : 202,342.20 = 79,556 : x
  2. Step 2: Convert to fraction form
    146,624/202,342.20 = 79,556/x
  3. Step 3: Cross multiply
    146,624x = 202,342.20 × 79,556
  4. Step 4: Simplify right side
    146,624x = 16,097,536,063.20
  5. Step 5: Solve for x
    x = 16,097,536,063.20/146,624
  6. Step 6: Final answer
    x = 109,787.87

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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.