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Finding the Fourth Proportional to 137,302.98, 205,914.70 and 41,236.32

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Solution

The fourth proportional to 137,302.98, 205,914.70 and 41,236.32 is: 61,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,302.98 : 205,914.70 = 41,236.32 : x
  2. Step 2: Convert to fraction form
    137,302.98/205,914.70 = 41,236.32/x
  3. Step 3: Cross multiply
    137,302.98x = 205,914.70 × 41,236.32
  4. Step 4: Simplify right side
    137,302.98x = 8,491,164,461.90
  5. Step 5: Solve for x
    x = 8,491,164,461.90/137,302.98
  6. Step 6: Final answer
    x = 61,842.54

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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.