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Finding the Fourth Proportional to 189,500.11, 283,939.12 and 64,773.07

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Solution

The fourth proportional to 189,500.11, 283,939.12 and 64,773.07 is: 97,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,500.11 : 283,939.12 = 64,773.07 : x
  2. Step 2: Convert to fraction form
    189,500.11/283,939.12 = 64,773.07/x
  3. Step 3: Cross multiply
    189,500.11x = 283,939.12 × 64,773.07
  4. Step 4: Simplify right side
    189,500.11x = 18,391,608,495.50
  5. Step 5: Solve for x
    x = 18,391,608,495.50/189,500.11
  6. Step 6: Final answer
    x = 97,053.29

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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.