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Finding the Fourth Proportional to 251,304.59, 376,951.70 and 82,835.03

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Solution

The fourth proportional to 251,304.59, 376,951.70 and 82,835.03 is: 124,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,304.59 : 376,951.70 = 82,835.03 : x
  2. Step 2: Convert to fraction form
    251,304.59/376,951.70 = 82,835.03/x
  3. Step 3: Cross multiply
    251,304.59x = 376,951.70 × 82,835.03
  4. Step 4: Simplify right side
    251,304.59x = 31,224,803,079.12
  5. Step 5: Solve for x
    x = 31,224,803,079.12/251,304.59
  6. Step 6: Final answer
    x = 124,250.83

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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.