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Finding the Fourth Proportional to 283,097, 424,711.11 and 96,108.50

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Solution

The fourth proportional to 283,097, 424,711.11 and 96,108.50 is: 144,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,097 : 424,711.11 = 96,108.50 : x
  2. Step 2: Convert to fraction form
    283,097/424,711.11 = 96,108.50/x
  3. Step 3: Cross multiply
    283,097x = 424,711.11 × 96,108.50
  4. Step 4: Simplify right side
    283,097x = 40,818,347,715.44
  5. Step 5: Solve for x
    x = 40,818,347,715.44/283,097
  6. Step 6: Final answer
    x = 144,185.02

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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.