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Finding the Fourth Proportional to 256,176, 353,518.47 and 141,451.79

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Solution

The fourth proportional to 256,176, 353,518.47 and 141,451.79 is: 195,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,176 : 353,518.47 = 141,451.79 : x
  2. Step 2: Convert to fraction form
    256,176/353,518.47 = 141,451.79/x
  3. Step 3: Cross multiply
    256,176x = 353,518.47 × 141,451.79
  4. Step 4: Simplify right side
    256,176x = 50,005,818,611.97
  5. Step 5: Solve for x
    x = 50,005,818,611.97/256,176
  6. Step 6: Final answer
    x = 195,201.03

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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.