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Finding the Fourth Proportional to 178,325.63, 267,523.43 and 66,006.80

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Solution

The fourth proportional to 178,325.63, 267,523.43 and 66,006.80 is: 99,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,325.63 : 267,523.43 = 66,006.80 : x
  2. Step 2: Convert to fraction form
    178,325.63/267,523.43 = 66,006.80/x
  3. Step 3: Cross multiply
    178,325.63x = 267,523.43 × 66,006.80
  4. Step 4: Simplify right side
    178,325.63x = 17,658,365,539.32
  5. Step 5: Solve for x
    x = 17,658,365,539.32/178,325.63
  6. Step 6: Final answer
    x = 99,023.15

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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.