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Finding the Fourth Proportional to 172,180.08, 237,595.68 and 96,714

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Solution

The fourth proportional to 172,180.08, 237,595.68 and 96,714 is: 133,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,180.08 : 237,595.68 = 96,714 : x
  2. Step 2: Convert to fraction form
    172,180.08/237,595.68 = 96,714/x
  3. Step 3: Cross multiply
    172,180.08x = 237,595.68 × 96,714
  4. Step 4: Simplify right side
    172,180.08x = 22,978,828,595.52
  5. Step 5: Solve for x
    x = 22,978,828,595.52/172,180.08
  6. Step 6: Final answer
    x = 133,458.11

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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.