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Finding the Fourth Proportional to 205,423.60, 307,847.40 and 163,375.60

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Solution

The fourth proportional to 205,423.60, 307,847.40 and 163,375.60 is: 244,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,423.60 : 307,847.40 = 163,375.60 : x
  2. Step 2: Convert to fraction form
    205,423.60/307,847.40 = 163,375.60/x
  3. Step 3: Cross multiply
    205,423.60x = 307,847.40 × 163,375.60
  4. Step 4: Simplify right side
    205,423.60x = 50,294,753,683.44
  5. Step 5: Solve for x
    x = 50,294,753,683.44/205,423.60
  6. Step 6: Final answer
    x = 244,834.35

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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.