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Finding the Fourth Proportional to 137,733.60, 206,427.60 and 67,461.60

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Solution

The fourth proportional to 137,733.60, 206,427.60 and 67,461.60 is: 101,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,733.60 : 206,427.60 = 67,461.60 : x
  2. Step 2: Convert to fraction form
    137,733.60/206,427.60 = 67,461.60/x
  3. Step 3: Cross multiply
    137,733.60x = 206,427.60 × 67,461.60
  4. Step 4: Simplify right side
    137,733.60x = 13,925,936,180.16
  5. Step 5: Solve for x
    x = 13,925,936,180.16/137,733.60
  6. Step 6: Final answer
    x = 101,107.76

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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.