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Finding the Fourth Proportional to 256,419.18, 353,879.10 and 141,707.88

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Solution

The fourth proportional to 256,419.18, 353,879.10 and 141,707.88 is: 195,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,419.18 : 353,879.10 = 141,707.88 : x
  2. Step 2: Convert to fraction form
    256,419.18/353,879.10 = 141,707.88/x
  3. Step 3: Cross multiply
    256,419.18x = 353,879.10 × 141,707.88
  4. Step 4: Simplify right side
    256,419.18x = 50,147,457,037.31
  5. Step 5: Solve for x
    x = 50,147,457,037.31/256,419.18
  6. Step 6: Final answer
    x = 195,568.28

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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.