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Finding the Fourth Proportional to 189,495.90, 284,221.80 and 49,265.46

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Solution

The fourth proportional to 189,495.90, 284,221.80 and 49,265.46 is: 73,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,495.90 : 284,221.80 = 49,265.46 : x
  2. Step 2: Convert to fraction form
    189,495.90/284,221.80 = 49,265.46/x
  3. Step 3: Cross multiply
    189,495.90x = 284,221.80 × 49,265.46
  4. Step 4: Simplify right side
    189,495.90x = 14,002,317,719.03
  5. Step 5: Solve for x
    x = 14,002,317,719.03/189,495.90
  6. Step 6: Final answer
    x = 73,892.46

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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.