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Finding the Fourth Proportional to 182,491, 251,837.70 and 103,003

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Solution

The fourth proportional to 182,491, 251,837.70 and 103,003 is: 142,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,491 : 251,837.70 = 103,003 : x
  2. Step 2: Convert to fraction form
    182,491/251,837.70 = 103,003/x
  3. Step 3: Cross multiply
    182,491x = 251,837.70 × 103,003
  4. Step 4: Simplify right side
    182,491x = 25,940,038,613.10
  5. Step 5: Solve for x
    x = 25,940,038,613.10/182,491
  6. Step 6: Final answer
    x = 142,144.21

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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.