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Finding the Fourth Proportional to 208,546.80, 312,820.20 and 141,624.60

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Solution

The fourth proportional to 208,546.80, 312,820.20 and 141,624.60 is: 212,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,546.80 : 312,820.20 = 141,624.60 : x
  2. Step 2: Convert to fraction form
    208,546.80/312,820.20 = 141,624.60/x
  3. Step 3: Cross multiply
    208,546.80x = 312,820.20 × 141,624.60
  4. Step 4: Simplify right side
    208,546.80x = 44,303,035,696.92
  5. Step 5: Solve for x
    x = 44,303,035,696.92/208,546.80
  6. Step 6: Final answer
    x = 212,436.90

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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.