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Finding the Fourth Proportional to 180,472.64, 270,975.09 and 100,666.54

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Solution

The fourth proportional to 180,472.64, 270,975.09 and 100,666.54 is: 151,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,472.64 : 270,975.09 = 100,666.54 : x
  2. Step 2: Convert to fraction form
    180,472.64/270,975.09 = 100,666.54/x
  3. Step 3: Cross multiply
    180,472.64x = 270,975.09 × 100,666.54
  4. Step 4: Simplify right side
    180,472.64x = 27,278,124,059.05
  5. Step 5: Solve for x
    x = 27,278,124,059.05/180,472.64
  6. Step 6: Final answer
    x = 151,148.25

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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.