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Finding the Fourth Proportional to 203,950.20, 305,730.90 and 158,946.60

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Solution

The fourth proportional to 203,950.20, 305,730.90 and 158,946.60 is: 238,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,950.20 : 305,730.90 = 158,946.60 : x
  2. Step 2: Convert to fraction form
    203,950.20/305,730.90 = 158,946.60/x
  3. Step 3: Cross multiply
    203,950.20x = 305,730.90 × 158,946.60
  4. Step 4: Simplify right side
    203,950.20x = 48,594,887,069.94
  5. Step 5: Solve for x
    x = 48,594,887,069.94/203,950.20
  6. Step 6: Final answer
    x = 238,268.40

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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.