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Finding the Fourth Proportional to 256,476.97, 353,956.54 and 141,753.14

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Solution

The fourth proportional to 256,476.97, 353,956.54 and 141,753.14 is: 195,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,476.97 : 353,956.54 = 141,753.14 : x
  2. Step 2: Convert to fraction form
    256,476.97/353,956.54 = 141,753.14/x
  3. Step 3: Cross multiply
    256,476.97x = 353,956.54 × 141,753.14
  4. Step 4: Simplify right side
    256,476.97x = 50,174,450,968.54
  5. Step 5: Solve for x
    x = 50,174,450,968.54/256,476.97
  6. Step 6: Final answer
    x = 195,629.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.