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Finding the Fourth Proportional to 256,196.66, 353,551.43 and 143,019.41

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Solution

The fourth proportional to 256,196.66, 353,551.43 and 143,019.41 is: 197,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,196.66 : 353,551.43 = 143,019.41 : x
  2. Step 2: Convert to fraction form
    256,196.66/353,551.43 = 143,019.41/x
  3. Step 3: Cross multiply
    256,196.66x = 353,551.43 × 143,019.41
  4. Step 4: Simplify right side
    256,196.66x = 50,564,715,513.05
  5. Step 5: Solve for x
    x = 50,564,715,513.05/256,196.66
  6. Step 6: Final answer
    x = 197,366.81

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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.