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Finding the Fourth Proportional to 177,284.92, 265,977.42 and 72,179.32

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Solution

The fourth proportional to 177,284.92, 265,977.42 and 72,179.32 is: 108,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,284.92 : 265,977.42 = 72,179.32 : x
  2. Step 2: Convert to fraction form
    177,284.92/265,977.42 = 72,179.32/x
  3. Step 3: Cross multiply
    177,284.92x = 265,977.42 × 72,179.32
  4. Step 4: Simplify right side
    177,284.92x = 19,198,069,310.95
  5. Step 5: Solve for x
    x = 19,198,069,310.95/177,284.92
  6. Step 6: Final answer
    x = 108,289.35

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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.