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Finding the Fourth Proportional to 100,180, 138,252.72 and 55,468

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Solution

The fourth proportional to 100,180, 138,252.72 and 55,468 is: 76,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,180 : 138,252.72 = 55,468 : x
  2. Step 2: Convert to fraction form
    100,180/138,252.72 = 55,468/x
  3. Step 3: Cross multiply
    100,180x = 138,252.72 × 55,468
  4. Step 4: Simplify right side
    100,180x = 7,668,601,872.96
  5. Step 5: Solve for x
    x = 7,668,601,872.96/100,180
  6. Step 6: Final answer
    x = 76,548.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.