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Finding the Fourth Proportional to 208,546.40, 312,819.60 and 103,570.40

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Solution

The fourth proportional to 208,546.40, 312,819.60 and 103,570.40 is: 155,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,546.40 : 312,819.60 = 103,570.40 : x
  2. Step 2: Convert to fraction form
    208,546.40/312,819.60 = 103,570.40/x
  3. Step 3: Cross multiply
    208,546.40x = 312,819.60 × 103,570.40
  4. Step 4: Simplify right side
    208,546.40x = 32,398,851,099.84
  5. Step 5: Solve for x
    x = 32,398,851,099.84/208,546.40
  6. Step 6: Final answer
    x = 155,355.60

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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.