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Finding the Fourth Proportional to 178,525.76, 267,777.64 and 73,342

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Solution

The fourth proportional to 178,525.76, 267,777.64 and 73,342 is: 110,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,525.76 : 267,777.64 = 73,342 : x
  2. Step 2: Convert to fraction form
    178,525.76/267,777.64 = 73,342/x
  3. Step 3: Cross multiply
    178,525.76x = 267,777.64 × 73,342
  4. Step 4: Simplify right side
    178,525.76x = 19,639,347,672.88
  5. Step 5: Solve for x
    x = 19,639,347,672.88/178,525.76
  6. Step 6: Final answer
    x = 110,008.48

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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.