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Finding the Fourth Proportional to 173,824.40, 260,736.60 and 164,147.60

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Solution

The fourth proportional to 173,824.40, 260,736.60 and 164,147.60 is: 246,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,824.40 : 260,736.60 = 164,147.60 : x
  2. Step 2: Convert to fraction form
    173,824.40/260,736.60 = 164,147.60/x
  3. Step 3: Cross multiply
    173,824.40x = 260,736.60 × 164,147.60
  4. Step 4: Simplify right side
    173,824.40x = 42,799,287,122.16
  5. Step 5: Solve for x
    x = 42,799,287,122.16/173,824.40
  6. Step 6: Final answer
    x = 246,221.40

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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.