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Finding the Fourth Proportional to 266,903.28, 400,512.84 and 98,541

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Solution

The fourth proportional to 266,903.28, 400,512.84 and 98,541 is: 147,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,903.28 : 400,512.84 = 98,541 : x
  2. Step 2: Convert to fraction form
    266,903.28/400,512.84 = 98,541/x
  3. Step 3: Cross multiply
    266,903.28x = 400,512.84 × 98,541
  4. Step 4: Simplify right side
    266,903.28x = 39,466,935,766.44
  5. Step 5: Solve for x
    x = 39,466,935,766.44/266,903.28
  6. Step 6: Final answer
    x = 147,869.80

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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.