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Finding the Fourth Proportional to 116,843.94, 175,278.18 and 57,622.68

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Solution

The fourth proportional to 116,843.94, 175,278.18 and 57,622.68 is: 86,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,843.94 : 175,278.18 = 57,622.68 : x
  2. Step 2: Convert to fraction form
    116,843.94/175,278.18 = 57,622.68/x
  3. Step 3: Cross multiply
    116,843.94x = 175,278.18 × 57,622.68
  4. Step 4: Simplify right side
    116,843.94x = 10,099,998,477.12
  5. Step 5: Solve for x
    x = 10,099,998,477.12/116,843.94
  6. Step 6: Final answer
    x = 86,440.07

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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.