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Finding the Fourth Proportional to 133,013.64, 199,301.22 and 119,295.48

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Solution

The fourth proportional to 133,013.64, 199,301.22 and 119,295.48 is: 178,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,013.64 : 199,301.22 = 119,295.48 : x
  2. Step 2: Convert to fraction form
    133,013.64/199,301.22 = 119,295.48/x
  3. Step 3: Cross multiply
    133,013.64x = 199,301.22 × 119,295.48
  4. Step 4: Simplify right side
    133,013.64x = 23,775,734,704.49
  5. Step 5: Solve for x
    x = 23,775,734,704.49/133,013.64
  6. Step 6: Final answer
    x = 178,746.59

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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.