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Finding the Fourth Proportional to 206,280.50, 284,667.09 and 116,856.50

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Solution

The fourth proportional to 206,280.50, 284,667.09 and 116,856.50 is: 161,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,280.50 : 284,667.09 = 116,856.50 : x
  2. Step 2: Convert to fraction form
    206,280.50/284,667.09 = 116,856.50/x
  3. Step 3: Cross multiply
    206,280.50x = 284,667.09 × 116,856.50
  4. Step 4: Simplify right side
    206,280.50x = 33,265,199,802.59
  5. Step 5: Solve for x
    x = 33,265,199,802.59/206,280.50
  6. Step 6: Final answer
    x = 161,261.97

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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.