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Finding the Fourth Proportional to 118,115.78, 176,998.64 and 97,204.42

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Solution

The fourth proportional to 118,115.78, 176,998.64 and 97,204.42 is: 145,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,115.78 : 176,998.64 = 97,204.42 : x
  2. Step 2: Convert to fraction form
    118,115.78/176,998.64 = 97,204.42/x
  3. Step 3: Cross multiply
    118,115.78x = 176,998.64 × 97,204.42
  4. Step 4: Simplify right side
    118,115.78x = 17,205,049,257.00
  5. Step 5: Solve for x
    x = 17,205,049,257.00/118,115.78
  6. Step 6: Final answer
    x = 145,662.58

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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.