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Finding the Fourth Proportional to 206,482.96, 284,644.90 and 145,946.80

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Solution

The fourth proportional to 206,482.96, 284,644.90 and 145,946.80 is: 201,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,482.96 : 284,644.90 = 145,946.80 : x
  2. Step 2: Convert to fraction form
    206,482.96/284,644.90 = 145,946.80/x
  3. Step 3: Cross multiply
    206,482.96x = 284,644.90 × 145,946.80
  4. Step 4: Simplify right side
    206,482.96x = 41,543,011,561.59
  5. Step 5: Solve for x
    x = 41,543,011,561.59/206,482.96
  6. Step 6: Final answer
    x = 201,193.41

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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.