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Finding the Fourth Proportional to 271,761.49, 407,641.69 and 72,101.89

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Solution

The fourth proportional to 271,761.49, 407,641.69 and 72,101.89 is: 108,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,761.49 : 407,641.69 = 72,101.89 : x
  2. Step 2: Convert to fraction form
    271,761.49/407,641.69 = 72,101.89/x
  3. Step 3: Cross multiply
    271,761.49x = 407,641.69 × 72,101.89
  4. Step 4: Simplify right side
    271,761.49x = 29,391,736,291.79
  5. Step 5: Solve for x
    x = 29,391,736,291.79/271,761.49
  6. Step 6: Final answer
    x = 108,152.69

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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.