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Finding the Fourth Proportional to 132,177, 182,405.54 and 72,562.28

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Solution

The fourth proportional to 132,177, 182,405.54 and 72,562.28 is: 100,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,177 : 182,405.54 = 72,562.28 : x
  2. Step 2: Convert to fraction form
    132,177/182,405.54 = 72,562.28/x
  3. Step 3: Cross multiply
    132,177x = 182,405.54 × 72,562.28
  4. Step 4: Simplify right side
    132,177x = 13,235,761,867.03
  5. Step 5: Solve for x
    x = 13,235,761,867.03/132,177
  6. Step 6: Final answer
    x = 100,136.65

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1.5x scale

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.