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Finding the Fourth Proportional to 256,883.40, 354,491.76 and 142,166.84

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Solution

The fourth proportional to 256,883.40, 354,491.76 and 142,166.84 is: 196,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,883.40 : 354,491.76 = 142,166.84 : x
  2. Step 2: Convert to fraction form
    256,883.40/354,491.76 = 142,166.84/x
  3. Step 3: Cross multiply
    256,883.40x = 354,491.76 × 142,166.84
  4. Step 4: Simplify right side
    256,883.40x = 50,396,971,552.78
  5. Step 5: Solve for x
    x = 50,396,971,552.78/256,883.40
  6. Step 6: Final answer
    x = 196,186.17

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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.