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Finding the Fourth Proportional to 132,192, 182,427.84 and 72,576

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Solution

The fourth proportional to 132,192, 182,427.84 and 72,576 is: 100,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,192 : 182,427.84 = 72,576 : x
  2. Step 2: Convert to fraction form
    132,192/182,427.84 = 72,576/x
  3. Step 3: Cross multiply
    132,192x = 182,427.84 × 72,576
  4. Step 4: Simplify right side
    132,192x = 13,239,882,915.84
  5. Step 5: Solve for x
    x = 13,239,882,915.84/132,192
  6. Step 6: Final answer
    x = 100,156.46

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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.