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Finding the Fourth Proportional to 256,178.12, 353,526.78 and 141,454.84

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Solution

The fourth proportional to 256,178.12, 353,526.78 and 141,454.84 is: 195,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,178.12 : 353,526.78 = 141,454.84 : x
  2. Step 2: Convert to fraction form
    256,178.12/353,526.78 = 141,454.84/x
  3. Step 3: Cross multiply
    256,178.12x = 353,526.78 × 141,454.84
  4. Step 4: Simplify right side
    256,178.12x = 50,008,074,100.62
  5. Step 5: Solve for x
    x = 50,008,074,100.62/256,178.12
  6. Step 6: Final answer
    x = 195,208.22

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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.