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Finding the Fourth Proportional to 378,085.59, 567,139.32 and 141,383.07

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Solution

The fourth proportional to 378,085.59, 567,139.32 and 141,383.07 is: 212,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,085.59 : 567,139.32 = 141,383.07 : x
  2. Step 2: Convert to fraction form
    378,085.59/567,139.32 = 141,383.07/x
  3. Step 3: Cross multiply
    378,085.59x = 567,139.32 × 141,383.07
  4. Step 4: Simplify right side
    378,085.59x = 80,183,898,179.31
  5. Step 5: Solve for x
    x = 80,183,898,179.31/378,085.59
  6. Step 6: Final answer
    x = 212,078.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.