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Finding the Fourth Proportional to 120,898.45, 166,829.25 and 67,180.06

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Solution

The fourth proportional to 120,898.45, 166,829.25 and 67,180.06 is: 92,702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,898.45 : 166,829.25 = 67,180.06 : x
  2. Step 2: Convert to fraction form
    120,898.45/166,829.25 = 67,180.06/x
  3. Step 3: Cross multiply
    120,898.45x = 166,829.25 × 67,180.06
  4. Step 4: Simplify right side
    120,898.45x = 11,207,599,024.76
  5. Step 5: Solve for x
    x = 11,207,599,024.76/120,898.45
  6. Step 6: Final answer
    x = 92,702.59

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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.