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Finding the Fourth Proportional to 182,405, 251,713.99 and 101,830.25

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Solution

The fourth proportional to 182,405, 251,713.99 and 101,830.25 is: 140,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,405 : 251,713.99 = 101,830.25 : x
  2. Step 2: Convert to fraction form
    182,405/251,713.99 = 101,830.25/x
  3. Step 3: Cross multiply
    182,405x = 251,713.99 × 101,830.25
  4. Step 4: Simplify right side
    182,405x = 25,632,098,530.20
  5. Step 5: Solve for x
    x = 25,632,098,530.20/182,405
  6. Step 6: Final answer
    x = 140,523.00

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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.