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Finding the Fourth Proportional to 178,029.60, 267,044.40 and 171,808.80

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Solution

The fourth proportional to 178,029.60, 267,044.40 and 171,808.80 is: 257,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,029.60 : 267,044.40 = 171,808.80 : x
  2. Step 2: Convert to fraction form
    178,029.60/267,044.40 = 171,808.80/x
  3. Step 3: Cross multiply
    178,029.60x = 267,044.40 × 171,808.80
  4. Step 4: Simplify right side
    178,029.60x = 45,880,577,910.72
  5. Step 5: Solve for x
    x = 45,880,577,910.72/178,029.60
  6. Step 6: Final answer
    x = 257,713.20

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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.