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Finding the Fourth Proportional to 259,382.25, 357,947.51 and 146,209.05

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Solution

The fourth proportional to 259,382.25, 357,947.51 and 146,209.05 is: 201,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,382.25 : 357,947.51 = 146,209.05 : x
  2. Step 2: Convert to fraction form
    259,382.25/357,947.51 = 146,209.05/x
  3. Step 3: Cross multiply
    259,382.25x = 357,947.51 × 146,209.05
  4. Step 4: Simplify right side
    259,382.25x = 52,335,164,655.92
  5. Step 5: Solve for x
    x = 52,335,164,655.92/259,382.25
  6. Step 6: Final answer
    x = 201,768.49

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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.