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Finding the Fourth Proportional to 117,204.77, 175,814.75 and 47,084.09

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Solution

The fourth proportional to 117,204.77, 175,814.75 and 47,084.09 is: 70,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,204.77 : 175,814.75 = 47,084.09 : x
  2. Step 2: Convert to fraction form
    117,204.77/175,814.75 = 47,084.09/x
  3. Step 3: Cross multiply
    117,204.77x = 175,814.75 × 47,084.09
  4. Step 4: Simplify right side
    117,204.77x = 8,278,076,750.96
  5. Step 5: Solve for x
    x = 8,278,076,750.96/117,204.77
  6. Step 6: Final answer
    x = 70,629.18

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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.