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Finding the Fourth Proportional to 122,458.39, 183,709.11 and 55,905.24

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Solution

The fourth proportional to 122,458.39, 183,709.11 and 55,905.24 is: 83,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,458.39 : 183,709.11 = 55,905.24 : x
  2. Step 2: Convert to fraction form
    122,458.39/183,709.11 = 55,905.24/x
  3. Step 3: Cross multiply
    122,458.39x = 183,709.11 × 55,905.24
  4. Step 4: Simplify right side
    122,458.39x = 10,270,301,605.21
  5. Step 5: Solve for x
    x = 10,270,301,605.21/122,458.39
  6. Step 6: Final answer
    x = 83,867.69

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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.