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Finding the Fourth Proportional to 194,899.61, 292,466.03 and 84,091.61

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Solution

The fourth proportional to 194,899.61, 292,466.03 and 84,091.61 is: 126,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,899.61 : 292,466.03 = 84,091.61 : x
  2. Step 2: Convert to fraction form
    194,899.61/292,466.03 = 84,091.61/x
  3. Step 3: Cross multiply
    194,899.61x = 292,466.03 × 84,091.61
  4. Step 4: Simplify right side
    194,899.61x = 24,593,937,450.22
  5. Step 5: Solve for x
    x = 24,593,937,450.22/194,899.61
  6. Step 6: Final answer
    x = 126,187.72

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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.