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Finding the Fourth Proportional to 178,171.20, 267,256.80 and 166,420.80

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Solution

The fourth proportional to 178,171.20, 267,256.80 and 166,420.80 is: 249,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,171.20 : 267,256.80 = 166,420.80 : x
  2. Step 2: Convert to fraction form
    178,171.20/267,256.80 = 166,420.80/x
  3. Step 3: Cross multiply
    178,171.20x = 267,256.80 × 166,420.80
  4. Step 4: Simplify right side
    178,171.20x = 44,477,090,461.44
  5. Step 5: Solve for x
    x = 44,477,090,461.44/178,171.20
  6. Step 6: Final answer
    x = 249,631.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.