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Finding the Fourth Proportional to 178,535.88, 246,375.27 and 97,962.66

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Solution

The fourth proportional to 178,535.88, 246,375.27 and 97,962.66 is: 135,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,535.88 : 246,375.27 = 97,962.66 : x
  2. Step 2: Convert to fraction form
    178,535.88/246,375.27 = 97,962.66/x
  3. Step 3: Cross multiply
    178,535.88x = 246,375.27 × 97,962.66
  4. Step 4: Simplify right side
    178,535.88x = 24,135,576,807.42
  5. Step 5: Solve for x
    x = 24,135,576,807.42/178,535.88
  6. Step 6: Final answer
    x = 135,186.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.