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Finding the Fourth Proportional to 256,478.31, 353,938.14 and 141,764.67

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Solution

The fourth proportional to 256,478.31, 353,938.14 and 141,764.67 is: 195,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,478.31 : 353,938.14 = 141,764.67 : x
  2. Step 2: Convert to fraction form
    256,478.31/353,938.14 = 141,764.67/x
  3. Step 3: Cross multiply
    256,478.31x = 353,938.14 × 141,764.67
  4. Step 4: Simplify right side
    256,478.31x = 50,175,923,617.51
  5. Step 5: Solve for x
    x = 50,175,923,617.51/256,478.31
  6. Step 6: Final answer
    x = 195,634.18

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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.