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Finding the Fourth Proportional to 206,528.96, 284,478.90 and 145,995.50

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Solution

The fourth proportional to 206,528.96, 284,478.90 and 145,995.50 is: 201,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,528.96 : 284,478.90 = 145,995.50 : x
  2. Step 2: Convert to fraction form
    206,528.96/284,478.90 = 145,995.50/x
  3. Step 3: Cross multiply
    206,528.96x = 284,478.90 × 145,995.50
  4. Step 4: Simplify right side
    206,528.96x = 41,532,637,822.56
  5. Step 5: Solve for x
    x = 41,532,637,822.56/206,528.96
  6. Step 6: Final answer
    x = 201,098.38

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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.