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Finding the Fourth Proportional to 169,633.80, 254,450.70 and 106,648.20

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Solution

The fourth proportional to 169,633.80, 254,450.70 and 106,648.20 is: 159,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,633.80 : 254,450.70 = 106,648.20 : x
  2. Step 2: Convert to fraction form
    169,633.80/254,450.70 = 106,648.20/x
  3. Step 3: Cross multiply
    169,633.80x = 254,450.70 × 106,648.20
  4. Step 4: Simplify right side
    169,633.80x = 27,136,709,143.74
  5. Step 5: Solve for x
    x = 27,136,709,143.74/169,633.80
  6. Step 6: Final answer
    x = 159,972.30

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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.