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Finding the Fourth Proportional to 179,672.82, 269,463.24 and 53,283.48

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Solution

The fourth proportional to 179,672.82, 269,463.24 and 53,283.48 is: 79,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,672.82 : 269,463.24 = 53,283.48 : x
  2. Step 2: Convert to fraction form
    179,672.82/269,463.24 = 53,283.48/x
  3. Step 3: Cross multiply
    179,672.82x = 269,463.24 × 53,283.48
  4. Step 4: Simplify right side
    179,672.82x = 14,357,939,159.28
  5. Step 5: Solve for x
    x = 14,357,939,159.28/179,672.82
  6. Step 6: Final answer
    x = 79,911.58

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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.