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Finding the Fourth Proportional to 149,676.40, 224,186.55 and 133,055.20

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Solution

The fourth proportional to 149,676.40, 224,186.55 and 133,055.20 is: 199,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,676.40 : 224,186.55 = 133,055.20 : x
  2. Step 2: Convert to fraction form
    149,676.40/224,186.55 = 133,055.20/x
  3. Step 3: Cross multiply
    149,676.40x = 224,186.55 × 133,055.20
  4. Step 4: Simplify right side
    149,676.40x = 29,829,186,247.56
  5. Step 5: Solve for x
    x = 29,829,186,247.56/149,676.40
  6. Step 6: Final answer
    x = 199,291.18

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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.