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Finding the Fourth Proportional to 378,106.90, 521,781.39 and 206,027.16

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Solution

The fourth proportional to 378,106.90, 521,781.39 and 206,027.16 is: 284,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,106.90 : 521,781.39 = 206,027.16 : x
  2. Step 2: Convert to fraction form
    378,106.90/521,781.39 = 206,027.16/x
  3. Step 3: Cross multiply
    378,106.90x = 521,781.39 × 206,027.16
  4. Step 4: Simplify right side
    378,106.90x = 107,501,134,283.51
  5. Step 5: Solve for x
    x = 107,501,134,283.51/378,106.90
  6. Step 6: Final answer
    x = 284,314.13

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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.