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Finding the Fourth Proportional to 172,167, 237,590.46 and 96,715.50

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Solution

The fourth proportional to 172,167, 237,590.46 and 96,715.50 is: 133,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,167 : 237,590.46 = 96,715.50 : x
  2. Step 2: Convert to fraction form
    172,167/237,590.46 = 96,715.50/x
  3. Step 3: Cross multiply
    172,167x = 237,590.46 × 96,715.50
  4. Step 4: Simplify right side
    172,167x = 22,978,680,134.13
  5. Step 5: Solve for x
    x = 22,978,680,134.13/172,167
  6. Step 6: Final answer
    x = 133,467.39

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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.