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Finding the Fourth Proportional to 160,828.40, 241,199.40 and 67,314.80

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Solution

The fourth proportional to 160,828.40, 241,199.40 and 67,314.80 is: 100,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,828.40 : 241,199.40 = 67,314.80 : x
  2. Step 2: Convert to fraction form
    160,828.40/241,199.40 = 67,314.80/x
  3. Step 3: Cross multiply
    160,828.40x = 241,199.40 × 67,314.80
  4. Step 4: Simplify right side
    160,828.40x = 16,236,289,371.12
  5. Step 5: Solve for x
    x = 16,236,289,371.12/160,828.40
  6. Step 6: Final answer
    x = 100,954.12

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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.