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Finding the Fourth Proportional to 116,364.22, 174,201.87 and 71,847.84

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Solution

The fourth proportional to 116,364.22, 174,201.87 and 71,847.84 is: 107,559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,364.22 : 174,201.87 = 71,847.84 : x
  2. Step 2: Convert to fraction form
    116,364.22/174,201.87 = 71,847.84/x
  3. Step 3: Cross multiply
    116,364.22x = 174,201.87 × 71,847.84
  4. Step 4: Simplify right side
    116,364.22x = 12,516,028,083.46
  5. Step 5: Solve for x
    x = 12,516,028,083.46/116,364.22
  6. Step 6: Final answer
    x = 107,559.08

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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.