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Finding the Fourth Proportional to 189,765.21, 284,638.05 and 56,646.57

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Solution

The fourth proportional to 189,765.21, 284,638.05 and 56,646.57 is: 84,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,765.21 : 284,638.05 = 56,646.57 : x
  2. Step 2: Convert to fraction form
    189,765.21/284,638.05 = 56,646.57/x
  3. Step 3: Cross multiply
    189,765.21x = 284,638.05 × 56,646.57
  4. Step 4: Simplify right side
    189,765.21x = 16,123,769,223.99
  5. Step 5: Solve for x
    x = 16,123,769,223.99/189,765.21
  6. Step 6: Final answer
    x = 84,966.94

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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.