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Finding the Fourth Proportional to 277,431.32, 382,852.50 and 150,104.12

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Solution

The fourth proportional to 277,431.32, 382,852.50 and 150,104.12 is: 207,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,431.32 : 382,852.50 = 150,104.12 : x
  2. Step 2: Convert to fraction form
    277,431.32/382,852.50 = 150,104.12/x
  3. Step 3: Cross multiply
    277,431.32x = 382,852.50 × 150,104.12
  4. Step 4: Simplify right side
    277,431.32x = 57,467,737,602.30
  5. Step 5: Solve for x
    x = 57,467,737,602.30/277,431.32
  6. Step 6: Final answer
    x = 207,142.21

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