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Finding the Fourth Proportional to 189,701.78, 284,597.37 and 61,617.49

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Solution

The fourth proportional to 189,701.78, 284,597.37 and 61,617.49 is: 92,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,701.78 : 284,597.37 = 61,617.49 : x
  2. Step 2: Convert to fraction form
    189,701.78/284,597.37 = 61,617.49/x
  3. Step 3: Cross multiply
    189,701.78x = 284,597.37 × 61,617.49
  4. Step 4: Simplify right side
    189,701.78x = 17,536,175,445.96
  5. Step 5: Solve for x
    x = 17,536,175,445.96/189,701.78
  6. Step 6: Final answer
    x = 92,440.75

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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.