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Finding the Fourth Proportional to 204,857, 282,703.88 and 114,218.68

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Solution

The fourth proportional to 204,857, 282,703.88 and 114,218.68 is: 157,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,857 : 282,703.88 = 114,218.68 : x
  2. Step 2: Convert to fraction form
    204,857/282,703.88 = 114,218.68/x
  3. Step 3: Cross multiply
    204,857x = 282,703.88 × 114,218.68
  4. Step 4: Simplify right side
    204,857x = 32,290,064,004.48
  5. Step 5: Solve for x
    x = 32,290,064,004.48/204,857
  6. Step 6: Final answer
    x = 157,622.46

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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.