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Finding the Fourth Proportional to 265,153.76, 397,572 and 179,869.42

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Solution

The fourth proportional to 265,153.76, 397,572 and 179,869.42 is: 269,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,153.76 : 397,572 = 179,869.42 : x
  2. Step 2: Convert to fraction form
    265,153.76/397,572 = 179,869.42/x
  3. Step 3: Cross multiply
    265,153.76x = 397,572 × 179,869.42
  4. Step 4: Simplify right side
    265,153.76x = 71,511,045,048.24
  5. Step 5: Solve for x
    x = 71,511,045,048.24/265,153.76
  6. Step 6: Final answer
    x = 269,696.52

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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.