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Finding the Fourth Proportional to 182,561.60, 251,931.84 and 101,984

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Solution

The fourth proportional to 182,561.60, 251,931.84 and 101,984 is: 140,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,561.60 : 251,931.84 = 101,984 : x
  2. Step 2: Convert to fraction form
    182,561.60/251,931.84 = 101,984/x
  3. Step 3: Cross multiply
    182,561.60x = 251,931.84 × 101,984
  4. Step 4: Simplify right side
    182,561.60x = 25,693,016,770.56
  5. Step 5: Solve for x
    x = 25,693,016,770.56/182,561.60
  6. Step 6: Final answer
    x = 140,736.15

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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.