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Finding the Fourth Proportional to 116,197.98, 174,303.48 and 33,085.50

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Solution

The fourth proportional to 116,197.98, 174,303.48 and 33,085.50 is: 49,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,197.98 : 174,303.48 = 33,085.50 : x
  2. Step 2: Convert to fraction form
    116,197.98/174,303.48 = 33,085.50/x
  3. Step 3: Cross multiply
    116,197.98x = 174,303.48 × 33,085.50
  4. Step 4: Simplify right side
    116,197.98x = 5,766,917,787.54
  5. Step 5: Solve for x
    x = 5,766,917,787.54/116,197.98
  6. Step 6: Final answer
    x = 49,630.10

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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.