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Finding the Fourth Proportional to 257,480, 386,220.54 and 109,736

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Solution

The fourth proportional to 257,480, 386,220.54 and 109,736 is: 164,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,480 : 386,220.54 = 109,736 : x
  2. Step 2: Convert to fraction form
    257,480/386,220.54 = 109,736/x
  3. Step 3: Cross multiply
    257,480x = 386,220.54 × 109,736
  4. Step 4: Simplify right side
    257,480x = 42,382,297,177.44
  5. Step 5: Solve for x
    x = 42,382,297,177.44/257,480
  6. Step 6: Final answer
    x = 164,604.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.