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Finding the Fourth Proportional to 117,405.66, 175,949.13 and 54,086.46

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Solution

The fourth proportional to 117,405.66, 175,949.13 and 54,086.46 is: 81,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,405.66 : 175,949.13 = 54,086.46 : x
  2. Step 2: Convert to fraction form
    117,405.66/175,949.13 = 54,086.46/x
  3. Step 3: Cross multiply
    117,405.66x = 175,949.13 × 54,086.46
  4. Step 4: Simplify right side
    117,405.66x = 9,516,465,581.78
  5. Step 5: Solve for x
    x = 9,516,465,581.78/117,405.66
  6. Step 6: Final answer
    x = 81,056.28

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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.