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Finding the Fourth Proportional to 283,770.84, 425,609.64 and 115,284.36

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Solution

The fourth proportional to 283,770.84, 425,609.64 and 115,284.36 is: 172,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,770.84 : 425,609.64 = 115,284.36 : x
  2. Step 2: Convert to fraction form
    283,770.84/425,609.64 = 115,284.36/x
  3. Step 3: Cross multiply
    283,770.84x = 425,609.64 × 115,284.36
  4. Step 4: Simplify right side
    283,770.84x = 49,066,136,553.27
  5. Step 5: Solve for x
    x = 49,066,136,553.27/283,770.84
  6. Step 6: Final answer
    x = 172,907.60

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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.