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Finding the Fourth Proportional to 182,415, 251,732.70 and 102,927

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Solution

The fourth proportional to 182,415, 251,732.70 and 102,927 is: 142,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,415 : 251,732.70 = 102,927 : x
  2. Step 2: Convert to fraction form
    182,415/251,732.70 = 102,927/x
  3. Step 3: Cross multiply
    182,415x = 251,732.70 × 102,927
  4. Step 4: Simplify right side
    182,415x = 25,910,091,612.90
  5. Step 5: Solve for x
    x = 25,910,091,612.90/182,415
  6. Step 6: Final answer
    x = 142,039.26

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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.