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Finding the Fourth Proportional to 182,494, 251,841.84 and 103,006

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Solution

The fourth proportional to 182,494, 251,841.84 and 103,006 is: 142,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,494 : 251,841.84 = 103,006 : x
  2. Step 2: Convert to fraction form
    182,494/251,841.84 = 103,006/x
  3. Step 3: Cross multiply
    182,494x = 251,841.84 × 103,006
  4. Step 4: Simplify right side
    182,494x = 25,941,220,571.04
  5. Step 5: Solve for x
    x = 25,941,220,571.04/182,494
  6. Step 6: Final answer
    x = 142,148.35

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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.