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Finding the Fourth Proportional to 221,683.64, 305,915.82 and 126,194.36

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Solution

The fourth proportional to 221,683.64, 305,915.82 and 126,194.36 is: 174,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,683.64 : 305,915.82 = 126,194.36 : x
  2. Step 2: Convert to fraction form
    221,683.64/305,915.82 = 126,194.36/x
  3. Step 3: Cross multiply
    221,683.64x = 305,915.82 × 126,194.36
  4. Step 4: Simplify right side
    221,683.64x = 38,604,851,118.78
  5. Step 5: Solve for x
    x = 38,604,851,118.78/221,683.64
  6. Step 6: Final answer
    x = 174,143.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.