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Finding the Fourth Proportional to 262,813.20, 393,766.20 and 122,283.60

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Solution

The fourth proportional to 262,813.20, 393,766.20 and 122,283.60 is: 183,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,813.20 : 393,766.20 = 122,283.60 : x
  2. Step 2: Convert to fraction form
    262,813.20/393,766.20 = 122,283.60/x
  3. Step 3: Cross multiply
    262,813.20x = 393,766.20 × 122,283.60
  4. Step 4: Simplify right side
    262,813.20x = 48,151,148,494.32
  5. Step 5: Solve for x
    x = 48,151,148,494.32/262,813.20
  6. Step 6: Final answer
    x = 183,214.35

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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.