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Finding the Fourth Proportional to 149,323.82, 223,912.74 and 65,155.10

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Solution

The fourth proportional to 149,323.82, 223,912.74 and 65,155.10 is: 97,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,323.82 : 223,912.74 = 65,155.10 : x
  2. Step 2: Convert to fraction form
    149,323.82/223,912.74 = 65,155.10/x
  3. Step 3: Cross multiply
    149,323.82x = 223,912.74 × 65,155.10
  4. Step 4: Simplify right side
    149,323.82x = 14,589,056,965.97
  5. Step 5: Solve for x
    x = 14,589,056,965.97/149,323.82
  6. Step 6: Final answer
    x = 97,700.80

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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.