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Finding the Fourth Proportional to 177,181.78, 265,772.68 and 72,008.96

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Solution

The fourth proportional to 177,181.78, 265,772.68 and 72,008.96 is: 108,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,181.78 : 265,772.68 = 72,008.96 : x
  2. Step 2: Convert to fraction form
    177,181.78/265,772.68 = 72,008.96/x
  3. Step 3: Cross multiply
    177,181.78x = 265,772.68 × 72,008.96
  4. Step 4: Simplify right side
    177,181.78x = 19,138,014,283.21
  5. Step 5: Solve for x
    x = 19,138,014,283.21/177,181.78
  6. Step 6: Final answer
    x = 108,013.44

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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.