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Finding the Fourth Proportional to 378,137.12, 521,829.27 and 206,055.14

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Solution

The fourth proportional to 378,137.12, 521,829.27 and 206,055.14 is: 284,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,137.12 : 521,829.27 = 206,055.14 : x
  2. Step 2: Convert to fraction form
    378,137.12/521,829.27 = 206,055.14/x
  3. Step 3: Cross multiply
    378,137.12x = 521,829.27 × 206,055.14
  4. Step 4: Simplify right side
    378,137.12x = 107,525,604,590.52
  5. Step 5: Solve for x
    x = 107,525,604,590.52/378,137.12
  6. Step 6: Final answer
    x = 284,356.12

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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.