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Finding the Fourth Proportional to 185,916, 256,523.04 and 105,336.48

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Solution

The fourth proportional to 185,916, 256,523.04 and 105,336.48 is: 145,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,916 : 256,523.04 = 105,336.48 : x
  2. Step 2: Convert to fraction form
    185,916/256,523.04 = 105,336.48/x
  3. Step 3: Cross multiply
    185,916x = 256,523.04 × 105,336.48
  4. Step 4: Simplify right side
    185,916x = 27,021,234,072.50
  5. Step 5: Solve for x
    x = 27,021,234,072.50/185,916
  6. Step 6: Final answer
    x = 145,341.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.