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Finding the Fourth Proportional to 283,222.53, 424,836.54 and 80,818.41

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Solution

The fourth proportional to 283,222.53, 424,836.54 and 80,818.41 is: 121,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,222.53 : 424,836.54 = 80,818.41 : x
  2. Step 2: Convert to fraction form
    283,222.53/424,836.54 = 80,818.41/x
  3. Step 3: Cross multiply
    283,222.53x = 424,836.54 × 80,818.41
  4. Step 4: Simplify right side
    283,222.53x = 34,334,613,672.70
  5. Step 5: Solve for x
    x = 34,334,613,672.70/283,222.53
  6. Step 6: Final answer
    x = 121,228.40

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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.