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Finding the Fourth Proportional to 200,835.40, 301,253.64 and 82,423.66

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Solution

The fourth proportional to 200,835.40, 301,253.64 and 82,423.66 is: 123,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,835.40 : 301,253.64 = 82,423.66 : x
  2. Step 2: Convert to fraction form
    200,835.40/301,253.64 = 82,423.66/x
  3. Step 3: Cross multiply
    200,835.40x = 301,253.64 × 82,423.66
  4. Step 4: Simplify right side
    200,835.40x = 24,830,427,597.12
  5. Step 5: Solve for x
    x = 24,830,427,597.12/200,835.40
  6. Step 6: Final answer
    x = 123,635.71

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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.