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Finding the Fourth Proportional to 185,916, 278,917.74 and 61,257

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Solution

The fourth proportional to 185,916, 278,917.74 and 61,257 is: 91,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,916 : 278,917.74 = 61,257 : x
  2. Step 2: Convert to fraction form
    185,916/278,917.74 = 61,257/x
  3. Step 3: Cross multiply
    185,916x = 278,917.74 × 61,257
  4. Step 4: Simplify right side
    185,916x = 17,085,663,999.18
  5. Step 5: Solve for x
    x = 17,085,663,999.18/185,916
  6. Step 6: Final answer
    x = 91,899.91

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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.