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Finding the Fourth Proportional to 182,530.56, 251,884.80 and 101,956.80

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Solution

The fourth proportional to 182,530.56, 251,884.80 and 101,956.80 is: 140,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,530.56 : 251,884.80 = 101,956.80 : x
  2. Step 2: Convert to fraction form
    182,530.56/251,884.80 = 101,956.80/x
  3. Step 3: Cross multiply
    182,530.56x = 251,884.80 × 101,956.80
  4. Step 4: Simplify right side
    182,530.56x = 25,681,368,176.64
  5. Step 5: Solve for x
    x = 25,681,368,176.64/182,530.56
  6. Step 6: Final answer
    x = 140,696.27

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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.