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Finding the Fourth Proportional to 179,633.80, 269,450.70 and 159,416.20

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Solution

The fourth proportional to 179,633.80, 269,450.70 and 159,416.20 is: 239,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,633.80 : 269,450.70 = 159,416.20 : x
  2. Step 2: Convert to fraction form
    179,633.80/269,450.70 = 159,416.20/x
  3. Step 3: Cross multiply
    179,633.80x = 269,450.70 × 159,416.20
  4. Step 4: Simplify right side
    179,633.80x = 42,954,806,681.34
  5. Step 5: Solve for x
    x = 42,954,806,681.34/179,633.80
  6. Step 6: Final answer
    x = 239,124.30

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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.