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Finding the Fourth Proportional to 123,407.44, 185,185.17 and 53,286.70

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Solution

The fourth proportional to 123,407.44, 185,185.17 and 53,286.70 is: 79,962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,407.44 : 185,185.17 = 53,286.70 : x
  2. Step 2: Convert to fraction form
    123,407.44/185,185.17 = 53,286.70/x
  3. Step 3: Cross multiply
    123,407.44x = 185,185.17 × 53,286.70
  4. Step 4: Simplify right side
    123,407.44x = 9,867,906,598.24
  5. Step 5: Solve for x
    x = 9,867,906,598.24/123,407.44
  6. Step 6: Final answer
    x = 79,962.01

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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.