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Finding the Fourth Proportional to 116,402.30, 174,645.44 and 57,279.48

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Solution

The fourth proportional to 116,402.30, 174,645.44 and 57,279.48 is: 85,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,402.30 : 174,645.44 = 57,279.48 : x
  2. Step 2: Convert to fraction form
    116,402.30/174,645.44 = 57,279.48/x
  3. Step 3: Cross multiply
    116,402.30x = 174,645.44 × 57,279.48
  4. Step 4: Simplify right side
    116,402.30x = 10,003,599,701.17
  5. Step 5: Solve for x
    x = 10,003,599,701.17/116,402.30
  6. Step 6: Final answer
    x = 85,939.88

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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.