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Finding the Fourth Proportional to 277,187.43, 415,813.68 and 97,217.85

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Solution

The fourth proportional to 277,187.43, 415,813.68 and 97,217.85 is: 145,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,187.43 : 415,813.68 = 97,217.85 : x
  2. Step 2: Convert to fraction form
    277,187.43/415,813.68 = 97,217.85/x
  3. Step 3: Cross multiply
    277,187.43x = 415,813.68 × 97,217.85
  4. Step 4: Simplify right side
    277,187.43x = 40,424,511,970.19
  5. Step 5: Solve for x
    x = 40,424,511,970.19/277,187.43
  6. Step 6: Final answer
    x = 145,838.19

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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.