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Finding the Fourth Proportional to 277,518.09, 382,974.96 and 150,193.68

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Solution

The fourth proportional to 277,518.09, 382,974.96 and 150,193.68 is: 207,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,518.09 : 382,974.96 = 150,193.68 : x
  2. Step 2: Convert to fraction form
    277,518.09/382,974.96 = 150,193.68/x
  3. Step 3: Cross multiply
    277,518.09x = 382,974.96 × 150,193.68
  4. Step 4: Simplify right side
    277,518.09x = 57,520,418,590.25
  5. Step 5: Solve for x
    x = 57,520,418,590.25/277,518.09
  6. Step 6: Final answer
    x = 207,267.28

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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.