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Finding the Fourth Proportional to 228,546.48, 315,289.46 and 147,999.95

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Solution

The fourth proportional to 228,546.48, 315,289.46 and 147,999.95 is: 204,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,546.48 : 315,289.46 = 147,999.95 : x
  2. Step 2: Convert to fraction form
    228,546.48/315,289.46 = 147,999.95/x
  3. Step 3: Cross multiply
    228,546.48x = 315,289.46 × 147,999.95
  4. Step 4: Simplify right side
    228,546.48x = 46,662,824,918.75
  5. Step 5: Solve for x
    x = 46,662,824,918.75/228,546.48
  6. Step 6: Final answer
    x = 204,172.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.