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Finding the Fourth Proportional to 206,644.84, 285,096.54 and 135,066.19

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Solution

The fourth proportional to 206,644.84, 285,096.54 and 135,066.19 is: 186,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,644.84 : 285,096.54 = 135,066.19 : x
  2. Step 2: Convert to fraction form
    206,644.84/285,096.54 = 135,066.19/x
  3. Step 3: Cross multiply
    206,644.84x = 285,096.54 × 135,066.19
  4. Step 4: Simplify right side
    206,644.84x = 38,506,903,439.98
  5. Step 5: Solve for x
    x = 38,506,903,439.98/206,644.84
  6. Step 6: Final answer
    x = 186,343.41

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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.