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Finding the Fourth Proportional to 178,002.54, 267,004.01 and 65,634.07

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Solution

The fourth proportional to 178,002.54, 267,004.01 and 65,634.07 is: 98,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,002.54 : 267,004.01 = 65,634.07 : x
  2. Step 2: Convert to fraction form
    178,002.54/267,004.01 = 65,634.07/x
  3. Step 3: Cross multiply
    178,002.54x = 267,004.01 × 65,634.07
  4. Step 4: Simplify right side
    178,002.54x = 17,524,559,882.62
  5. Step 5: Solve for x
    x = 17,524,559,882.62/178,002.54
  6. Step 6: Final answer
    x = 98,451.18

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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.