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Finding the Fourth Proportional to 180,414.11, 248,967.73 and 99,836.80

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Solution

The fourth proportional to 180,414.11, 248,967.73 and 99,836.80 is: 137,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,414.11 : 248,967.73 = 99,836.80 : x
  2. Step 2: Convert to fraction form
    180,414.11/248,967.73 = 99,836.80/x
  3. Step 3: Cross multiply
    180,414.11x = 248,967.73 × 99,836.80
  4. Step 4: Simplify right side
    180,414.11x = 24,856,141,466.46
  5. Step 5: Solve for x
    x = 24,856,141,466.46/180,414.11
  6. Step 6: Final answer
    x = 137,772.71

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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.