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Finding the Fourth Proportional to 140,466.96, 210,811.14 and 61,635.60

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Solution

The fourth proportional to 140,466.96, 210,811.14 and 61,635.60 is: 92,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,466.96 : 210,811.14 = 61,635.60 : x
  2. Step 2: Convert to fraction form
    140,466.96/210,811.14 = 61,635.60/x
  3. Step 3: Cross multiply
    140,466.96x = 210,811.14 × 61,635.60
  4. Step 4: Simplify right side
    140,466.96x = 12,993,471,100.58
  5. Step 5: Solve for x
    x = 12,993,471,100.58/140,466.96
  6. Step 6: Final answer
    x = 92,501.97

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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.