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Finding the Fourth Proportional to 116,076.63, 174,110.08 and 37,189.11

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Solution

The fourth proportional to 116,076.63, 174,110.08 and 37,189.11 is: 55,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,076.63 : 174,110.08 = 37,189.11 : x
  2. Step 2: Convert to fraction form
    116,076.63/174,110.08 = 37,189.11/x
  3. Step 3: Cross multiply
    116,076.63x = 174,110.08 × 37,189.11
  4. Step 4: Simplify right side
    116,076.63x = 6,474,998,917.23
  5. Step 5: Solve for x
    x = 6,474,998,917.23/116,076.63
  6. Step 6: Final answer
    x = 55,782.11

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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.