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Finding the Fourth Proportional to 256,234.32, 353,606.01 and 141,515.82

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Solution

The fourth proportional to 256,234.32, 353,606.01 and 141,515.82 is: 195,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,234.32 : 353,606.01 = 141,515.82 : x
  2. Step 2: Convert to fraction form
    256,234.32/353,606.01 = 141,515.82/x
  3. Step 3: Cross multiply
    256,234.32x = 353,606.01 × 141,515.82
  4. Step 4: Simplify right side
    256,234.32x = 50,040,844,638.51
  5. Step 5: Solve for x
    x = 50,040,844,638.51/256,234.32
  6. Step 6: Final answer
    x = 195,293.29

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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.