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Finding the Fourth Proportional to 283,096.50, 424,710.36 and 96,108

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Solution

The fourth proportional to 283,096.50, 424,710.36 and 96,108 is: 144,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,096.50 : 424,710.36 = 96,108 : x
  2. Step 2: Convert to fraction form
    283,096.50/424,710.36 = 96,108/x
  3. Step 3: Cross multiply
    283,096.50x = 424,710.36 × 96,108
  4. Step 4: Simplify right side
    283,096.50x = 40,818,063,278.88
  5. Step 5: Solve for x
    x = 40,818,063,278.88/283,096.50
  6. Step 6: Final answer
    x = 144,184.27

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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.