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Finding the Fourth Proportional to 262,564.80, 393,847.20 and 122,596.80

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Solution

The fourth proportional to 262,564.80, 393,847.20 and 122,596.80 is: 183,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,564.80 : 393,847.20 = 122,596.80 : x
  2. Step 2: Convert to fraction form
    262,564.80/393,847.20 = 122,596.80/x
  3. Step 3: Cross multiply
    262,564.80x = 393,847.20 × 122,596.80
  4. Step 4: Simplify right side
    262,564.80x = 48,284,406,408.96
  5. Step 5: Solve for x
    x = 48,284,406,408.96/262,564.80
  6. Step 6: Final answer
    x = 183,895.20

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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.