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Finding the Fourth Proportional to 149,911.60, 224,608.20 and 70,855.60

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Solution

The fourth proportional to 149,911.60, 224,608.20 and 70,855.60 is: 106,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,911.60 : 224,608.20 = 70,855.60 : x
  2. Step 2: Convert to fraction form
    149,911.60/224,608.20 = 70,855.60/x
  3. Step 3: Cross multiply
    149,911.60x = 224,608.20 × 70,855.60
  4. Step 4: Simplify right side
    149,911.60x = 15,914,748,775.92
  5. Step 5: Solve for x
    x = 15,914,748,775.92/149,911.60
  6. Step 6: Final answer
    x = 106,160.89

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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.