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Finding the Fourth Proportional to 204,955.84, 305,396.28 and 182,597.40

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Solution

The fourth proportional to 204,955.84, 305,396.28 and 182,597.40 is: 272,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,955.84 : 305,396.28 = 182,597.40 : x
  2. Step 2: Convert to fraction form
    204,955.84/305,396.28 = 182,597.40/x
  3. Step 3: Cross multiply
    204,955.84x = 305,396.28 × 182,597.40
  4. Step 4: Simplify right side
    204,955.84x = 55,764,566,697.67
  5. Step 5: Solve for x
    x = 55,764,566,697.67/204,955.84
  6. Step 6: Final answer
    x = 272,080.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.