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Finding the Fourth Proportional to 122,496.00, 183,791.53 and 47,668.70

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Solution

The fourth proportional to 122,496.00, 183,791.53 and 47,668.70 is: 71,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,496.00 : 183,791.53 = 47,668.70 : x
  2. Step 2: Convert to fraction form
    122,496.00/183,791.53 = 47,668.70/x
  3. Step 3: Cross multiply
    122,496.00x = 183,791.53 × 47,668.70
  4. Step 4: Simplify right side
    122,496.00x = 8,761,103,825.18
  5. Step 5: Solve for x
    x = 8,761,103,825.18/122,496.00
  6. Step 6: Final answer
    x = 71,521.55

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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.