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Finding the Fourth Proportional to 259,849, 358,591.62 and 140,617

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Solution

The fourth proportional to 259,849, 358,591.62 and 140,617 is: 194,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,849 : 358,591.62 = 140,617 : x
  2. Step 2: Convert to fraction form
    259,849/358,591.62 = 140,617/x
  3. Step 3: Cross multiply
    259,849x = 358,591.62 × 140,617
  4. Step 4: Simplify right side
    259,849x = 50,424,077,829.54
  5. Step 5: Solve for x
    x = 50,424,077,829.54/259,849
  6. Step 6: Final answer
    x = 194,051.46

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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.