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Finding the Fourth Proportional to 224,353.50, 309,629.70 and 123,751.50

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Solution

The fourth proportional to 224,353.50, 309,629.70 and 123,751.50 is: 170,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,353.50 : 309,629.70 = 123,751.50 : x
  2. Step 2: Convert to fraction form
    224,353.50/309,629.70 = 123,751.50/x
  3. Step 3: Cross multiply
    224,353.50x = 309,629.70 × 123,751.50
  4. Step 4: Simplify right side
    224,353.50x = 38,317,139,819.55
  5. Step 5: Solve for x
    x = 38,317,139,819.55/224,353.50
  6. Step 6: Final answer
    x = 170,789.13

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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.