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Finding the Fourth Proportional to 256,540.57, 354,037.03 and 146,162.68

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Solution

The fourth proportional to 256,540.57, 354,037.03 and 146,162.68 is: 201,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,540.57 : 354,037.03 = 146,162.68 : x
  2. Step 2: Convert to fraction form
    256,540.57/354,037.03 = 146,162.68/x
  3. Step 3: Cross multiply
    256,540.57x = 354,037.03 × 146,162.68
  4. Step 4: Simplify right side
    256,540.57x = 51,746,999,873.54
  5. Step 5: Solve for x
    x = 51,746,999,873.54/256,540.57
  6. Step 6: Final answer
    x = 201,710.79

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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.