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Finding the Fourth Proportional to 162,584.39, 243,883.07 and 50,254.60

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Solution

The fourth proportional to 162,584.39, 243,883.07 and 50,254.60 is: 75,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,584.39 : 243,883.07 = 50,254.60 : x
  2. Step 2: Convert to fraction form
    162,584.39/243,883.07 = 50,254.60/x
  3. Step 3: Cross multiply
    162,584.39x = 243,883.07 × 50,254.60
  4. Step 4: Simplify right side
    162,584.39x = 12,256,246,129.62
  5. Step 5: Solve for x
    x = 12,256,246,129.62/162,584.39
  6. Step 6: Final answer
    x = 75,383.90

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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.