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Finding the Fourth Proportional to 133,064.88, 199,458 and 53,071.44

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Solution

The fourth proportional to 133,064.88, 199,458 and 53,071.44 is: 79,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,064.88 : 199,458 = 53,071.44 : x
  2. Step 2: Convert to fraction form
    133,064.88/199,458 = 53,071.44/x
  3. Step 3: Cross multiply
    133,064.88x = 199,458 × 53,071.44
  4. Step 4: Simplify right side
    133,064.88x = 10,585,523,279.52
  5. Step 5: Solve for x
    x = 10,585,523,279.52/133,064.88
  6. Step 6: Final answer
    x = 79,551.59

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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.