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Finding the Fourth Proportional to 196,915.20, 271,929.60 and 161,145.60

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Solution

The fourth proportional to 196,915.20, 271,929.60 and 161,145.60 is: 222,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,915.20 : 271,929.60 = 161,145.60 : x
  2. Step 2: Convert to fraction form
    196,915.20/271,929.60 = 161,145.60/x
  3. Step 3: Cross multiply
    196,915.20x = 271,929.60 × 161,145.60
  4. Step 4: Simplify right side
    196,915.20x = 43,820,258,549.76
  5. Step 5: Solve for x
    x = 43,820,258,549.76/196,915.20
  6. Step 6: Final answer
    x = 222,533.65

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