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Finding the Fourth Proportional to 251,045.82, 376,488.74 and 82,527.14

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Solution

The fourth proportional to 251,045.82, 376,488.74 and 82,527.14 is: 123,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,045.82 : 376,488.74 = 82,527.14 : x
  2. Step 2: Convert to fraction form
    251,045.82/376,488.74 = 82,527.14/x
  3. Step 3: Cross multiply
    251,045.82x = 376,488.74 × 82,527.14
  4. Step 4: Simplify right side
    251,045.82x = 31,070,538,954.40
  5. Step 5: Solve for x
    x = 31,070,538,954.40/251,045.82
  6. Step 6: Final answer
    x = 123,764.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.