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Finding the Fourth Proportional to 178,178.14, 267,079.47 and 65,786.41

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Solution

The fourth proportional to 178,178.14, 267,079.47 and 65,786.41 is: 98,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,178.14 : 267,079.47 = 65,786.41 : x
  2. Step 2: Convert to fraction form
    178,178.14/267,079.47 = 65,786.41/x
  3. Step 3: Cross multiply
    178,178.14x = 267,079.47 × 65,786.41
  4. Step 4: Simplify right side
    178,178.14x = 17,570,199,516.00
  5. Step 5: Solve for x
    x = 17,570,199,516.00/178,178.14
  6. Step 6: Final answer
    x = 98,610.30

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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.