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Finding the Fourth Proportional to 256,938.54, 354,576.06 and 143,754

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Solution

The fourth proportional to 256,938.54, 354,576.06 and 143,754 is: 198,381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,938.54 : 354,576.06 = 143,754 : x
  2. Step 2: Convert to fraction form
    256,938.54/354,576.06 = 143,754/x
  3. Step 3: Cross multiply
    256,938.54x = 354,576.06 × 143,754
  4. Step 4: Simplify right side
    256,938.54x = 50,971,726,929.24
  5. Step 5: Solve for x
    x = 50,971,726,929.24/256,938.54
  6. Step 6: Final answer
    x = 198,381.01

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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.