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Finding the Fourth Proportional to 165,673, 228,650.34 and 98,605

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Solution

The fourth proportional to 165,673, 228,650.34 and 98,605 is: 136,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,673 : 228,650.34 = 98,605 : x
  2. Step 2: Convert to fraction form
    165,673/228,650.34 = 98,605/x
  3. Step 3: Cross multiply
    165,673x = 228,650.34 × 98,605
  4. Step 4: Simplify right side
    165,673x = 22,546,066,775.70
  5. Step 5: Solve for x
    x = 22,546,066,775.70/165,673
  6. Step 6: Final answer
    x = 136,087.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.