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Finding the Fourth Proportional to 257,696, 386,806.08 and 177,739.52

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Solution

The fourth proportional to 257,696, 386,806.08 and 177,739.52 is: 266,790.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,696 : 386,806.08 = 177,739.52 : x
  2. Step 2: Convert to fraction form
    257,696/386,806.08 = 177,739.52/x
  3. Step 3: Cross multiply
    257,696x = 386,806.08 × 177,739.52
  4. Step 4: Simplify right side
    257,696x = 68,750,726,992.28
  5. Step 5: Solve for x
    x = 68,750,726,992.28/257,696
  6. Step 6: Final answer
    x = 266,790.04

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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.