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Finding the Fourth Proportional to 123,611.38, 185,226.24 and 83,473.08

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Solution

The fourth proportional to 123,611.38, 185,226.24 and 83,473.08 is: 125,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,611.38 : 185,226.24 = 83,473.08 : x
  2. Step 2: Convert to fraction form
    123,611.38/185,226.24 = 83,473.08/x
  3. Step 3: Cross multiply
    123,611.38x = 185,226.24 × 83,473.08
  4. Step 4: Simplify right side
    123,611.38x = 15,461,404,749.62
  5. Step 5: Solve for x
    x = 15,461,404,749.62/123,611.38
  6. Step 6: Final answer
    x = 125,080.76

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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.