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Finding the Fourth Proportional to 183,172.60, 274,837.92 and 98,916

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Solution

The fourth proportional to 183,172.60, 274,837.92 and 98,916 is: 148,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,172.60 : 274,837.92 = 98,916 : x
  2. Step 2: Convert to fraction form
    183,172.60/274,837.92 = 98,916/x
  3. Step 3: Cross multiply
    183,172.60x = 274,837.92 × 98,916
  4. Step 4: Simplify right side
    183,172.60x = 27,185,867,694.72
  5. Step 5: Solve for x
    x = 27,185,867,694.72/183,172.60
  6. Step 6: Final answer
    x = 148,416.67

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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.