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Finding the Fourth Proportional to 149,682.88, 224,336.34 and 74,823.91

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Solution

The fourth proportional to 149,682.88, 224,336.34 and 74,823.91 is: 112,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,682.88 : 224,336.34 = 74,823.91 : x
  2. Step 2: Convert to fraction form
    149,682.88/224,336.34 = 74,823.91/x
  3. Step 3: Cross multiply
    149,682.88x = 224,336.34 × 74,823.91
  4. Step 4: Simplify right side
    149,682.88x = 16,785,722,113.89
  5. Step 5: Solve for x
    x = 16,785,722,113.89/149,682.88
  6. Step 6: Final answer
    x = 112,141.90

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1.5x scale

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.