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Finding the Fourth Proportional to 149,706.10, 224,231.10 and 130,023.10

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Solution

The fourth proportional to 149,706.10, 224,231.10 and 130,023.10 is: 194,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,706.10 : 224,231.10 = 130,023.10 : x
  2. Step 2: Convert to fraction form
    149,706.10/224,231.10 = 130,023.10/x
  3. Step 3: Cross multiply
    149,706.10x = 224,231.10 × 130,023.10
  4. Step 4: Simplify right side
    149,706.10x = 29,155,222,738.41
  5. Step 5: Solve for x
    x = 29,155,222,738.41/149,706.10
  6. Step 6: Final answer
    x = 194,749.73

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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.