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Finding the Fourth Proportional to 356,782.35, 492,359.40 and 195,640.14

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Solution

The fourth proportional to 356,782.35, 492,359.40 and 195,640.14 is: 269,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,782.35 : 492,359.40 = 195,640.14 : x
  2. Step 2: Convert to fraction form
    356,782.35/492,359.40 = 195,640.14/x
  3. Step 3: Cross multiply
    356,782.35x = 492,359.40 × 195,640.14
  4. Step 4: Simplify right side
    356,782.35x = 96,325,261,946.32
  5. Step 5: Solve for x
    x = 96,325,261,946.32/356,782.35
  6. Step 6: Final answer
    x = 269,983.26

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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.