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Finding the Fourth Proportional to 182,490, 251,836.32 and 103,002

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Solution

The fourth proportional to 182,490, 251,836.32 and 103,002 is: 142,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,490 : 251,836.32 = 103,002 : x
  2. Step 2: Convert to fraction form
    182,490/251,836.32 = 103,002/x
  3. Step 3: Cross multiply
    182,490x = 251,836.32 × 103,002
  4. Step 4: Simplify right side
    182,490x = 25,939,644,632.64
  5. Step 5: Solve for x
    x = 25,939,644,632.64/182,490
  6. Step 6: Final answer
    x = 142,142.83

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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.