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Finding the Fourth Proportional to 265,155.76, 397,575 and 179,871.42

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Solution

The fourth proportional to 265,155.76, 397,575 and 179,871.42 is: 269,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,155.76 : 397,575 = 179,871.42 : x
  2. Step 2: Convert to fraction form
    265,155.76/397,575 = 179,871.42/x
  3. Step 3: Cross multiply
    265,155.76x = 397,575 × 179,871.42
  4. Step 4: Simplify right side
    265,155.76x = 71,512,379,806.50
  5. Step 5: Solve for x
    x = 71,512,379,806.50/265,155.76
  6. Step 6: Final answer
    x = 269,699.51

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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.