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Finding the Fourth Proportional to 149,893.70, 224,951.45 and 71,008.10

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Solution

The fourth proportional to 149,893.70, 224,951.45 and 71,008.10 is: 106,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,893.70 : 224,951.45 = 71,008.10 : x
  2. Step 2: Convert to fraction form
    149,893.70/224,951.45 = 71,008.10/x
  3. Step 3: Cross multiply
    149,893.70x = 224,951.45 × 71,008.10
  4. Step 4: Simplify right side
    149,893.70x = 15,973,375,056.75
  5. Step 5: Solve for x
    x = 15,973,375,056.75/149,893.70
  6. Step 6: Final answer
    x = 106,564.69

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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.