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Finding the Fourth Proportional to 204,549, 282,303.54 and 115,142.28

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Solution

The fourth proportional to 204,549, 282,303.54 and 115,142.28 is: 158,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,549 : 282,303.54 = 115,142.28 : x
  2. Step 2: Convert to fraction form
    204,549/282,303.54 = 115,142.28/x
  3. Step 3: Cross multiply
    204,549x = 282,303.54 × 115,142.28
  4. Step 4: Simplify right side
    204,549x = 32,505,073,247.67
  5. Step 5: Solve for x
    x = 32,505,073,247.67/204,549
  6. Step 6: Final answer
    x = 158,910.94

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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.