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Finding the Fourth Proportional to 149,690.63, 224,489.22 and 49,827.48

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Solution

The fourth proportional to 149,690.63, 224,489.22 and 49,827.48 is: 74,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,690.63 : 224,489.22 = 49,827.48 : x
  2. Step 2: Convert to fraction form
    149,690.63/224,489.22 = 49,827.48/x
  3. Step 3: Cross multiply
    149,690.63x = 224,489.22 × 49,827.48
  4. Step 4: Simplify right side
    149,690.63x = 11,185,732,119.77
  5. Step 5: Solve for x
    x = 11,185,732,119.77/149,690.63
  6. Step 6: Final answer
    x = 74,725.67

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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.