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Finding the Fourth Proportional to 189,757.41, 284,682.83 and 133,706.98

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Solution

The fourth proportional to 189,757.41, 284,682.83 and 133,706.98 is: 200,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,757.41 : 284,682.83 = 133,706.98 : x
  2. Step 2: Convert to fraction form
    189,757.41/284,682.83 = 133,706.98/x
  3. Step 3: Cross multiply
    189,757.41x = 284,682.83 × 133,706.98
  4. Step 4: Simplify right side
    189,757.41x = 38,064,081,457.15
  5. Step 5: Solve for x
    x = 38,064,081,457.15/189,757.41
  6. Step 6: Final answer
    x = 200,593.39

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1.5x scale

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.