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Finding the Fourth Proportional to 277,051.50, 382,331.16 and 157,819.50

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Solution

The fourth proportional to 277,051.50, 382,331.16 and 157,819.50 is: 217,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,051.50 : 382,331.16 = 157,819.50 : x
  2. Step 2: Convert to fraction form
    277,051.50/382,331.16 = 157,819.50/x
  3. Step 3: Cross multiply
    277,051.50x = 382,331.16 × 157,819.50
  4. Step 4: Simplify right side
    277,051.50x = 60,339,312,505.62
  5. Step 5: Solve for x
    x = 60,339,312,505.62/277,051.50
  6. Step 6: Final answer
    x = 217,790.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.