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Finding the Fourth Proportional to 284,770.49, 427,820.13 and 166,525.07

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Solution

The fourth proportional to 284,770.49, 427,820.13 and 166,525.07 is: 250,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,770.49 : 427,820.13 = 166,525.07 : x
  2. Step 2: Convert to fraction form
    284,770.49/427,820.13 = 166,525.07/x
  3. Step 3: Cross multiply
    284,770.49x = 427,820.13 × 166,525.07
  4. Step 4: Simplify right side
    284,770.49x = 71,242,774,956.56
  5. Step 5: Solve for x
    x = 71,242,774,956.56/284,770.49
  6. Step 6: Final answer
    x = 250,176.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.