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Finding the Fourth Proportional to 204,514.83, 282,369 and 128,064.60

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Solution

The fourth proportional to 204,514.83, 282,369 and 128,064.60 is: 176,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,514.83 : 282,369 = 128,064.60 : x
  2. Step 2: Convert to fraction form
    204,514.83/282,369 = 128,064.60/x
  3. Step 3: Cross multiply
    204,514.83x = 282,369 × 128,064.60
  4. Step 4: Simplify right side
    204,514.83x = 36,161,471,625.56
  5. Step 5: Solve for x
    x = 36,161,471,625.56/204,514.83
  6. Step 6: Final answer
    x = 176,815.89

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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.