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Finding the Fourth Proportional to 256,683.40, 354,205.11 and 149,245.81

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Solution

The fourth proportional to 256,683.40, 354,205.11 and 149,245.81 is: 205,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,683.40 : 354,205.11 = 149,245.81 : x
  2. Step 2: Convert to fraction form
    256,683.40/354,205.11 = 149,245.81/x
  3. Step 3: Cross multiply
    256,683.40x = 354,205.11 × 149,245.81
  4. Step 4: Simplify right side
    256,683.40x = 52,863,628,548.09
  5. Step 5: Solve for x
    x = 52,863,628,548.09/256,683.40
  6. Step 6: Final answer
    x = 205,948.76

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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.