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Finding the Fourth Proportional to 116,034.39, 173,829.24 and 78,529.77

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Solution

The fourth proportional to 116,034.39, 173,829.24 and 78,529.77 is: 117,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,034.39 : 173,829.24 = 78,529.77 : x
  2. Step 2: Convert to fraction form
    116,034.39/173,829.24 = 78,529.77/x
  3. Step 3: Cross multiply
    116,034.39x = 173,829.24 × 78,529.77
  4. Step 4: Simplify right side
    116,034.39x = 13,650,770,236.47
  5. Step 5: Solve for x
    x = 13,650,770,236.47/116,034.39
  6. Step 6: Final answer
    x = 117,644.18

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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.