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Finding the Fourth Proportional to 229,765, 344,672.22 and 96,658.80

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Solution

The fourth proportional to 229,765, 344,672.22 and 96,658.80 is: 144,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,765 : 344,672.22 = 96,658.80 : x
  2. Step 2: Convert to fraction form
    229,765/344,672.22 = 96,658.80/x
  3. Step 3: Cross multiply
    229,765x = 344,672.22 × 96,658.80
  4. Step 4: Simplify right side
    229,765x = 33,315,603,178.54
  5. Step 5: Solve for x
    x = 33,315,603,178.54/229,765
  6. Step 6: Final answer
    x = 144,998.60

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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.