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Finding the Fourth Proportional to 277,004.17, 382,296.13 and 160,743.25

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Solution

The fourth proportional to 277,004.17, 382,296.13 and 160,743.25 is: 221,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,004.17 : 382,296.13 = 160,743.25 : x
  2. Step 2: Convert to fraction form
    277,004.17/382,296.13 = 160,743.25/x
  3. Step 3: Cross multiply
    277,004.17x = 382,296.13 × 160,743.25
  4. Step 4: Simplify right side
    277,004.17x = 61,451,520,639.17
  5. Step 5: Solve for x
    x = 61,451,520,639.17/277,004.17
  6. Step 6: Final answer
    x = 221,843.31

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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.