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Finding the Fourth Proportional to 523,257.21, 784,745.30 and 144,087.66

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Solution

The fourth proportional to 523,257.21, 784,745.30 and 144,087.66 is: 216,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,257.21 : 784,745.30 = 144,087.66 : x
  2. Step 2: Convert to fraction form
    523,257.21/784,745.30 = 144,087.66/x
  3. Step 3: Cross multiply
    523,257.21x = 784,745.30 × 144,087.66
  4. Step 4: Simplify right side
    523,257.21x = 113,072,114,333.22
  5. Step 5: Solve for x
    x = 113,072,114,333.22/523,257.21
  6. Step 6: Final answer
    x = 216,092.80

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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.