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Finding the Fourth Proportional to 301,081.60, 451,403.70 and 123,497.20

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Solution

The fourth proportional to 301,081.60, 451,403.70 and 123,497.20 is: 185,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,081.60 : 451,403.70 = 123,497.20 : x
  2. Step 2: Convert to fraction form
    301,081.60/451,403.70 = 123,497.20/x
  3. Step 3: Cross multiply
    301,081.60x = 451,403.70 × 123,497.20
  4. Step 4: Simplify right side
    301,081.60x = 55,747,093,019.64
  5. Step 5: Solve for x
    x = 55,747,093,019.64/301,081.60
  6. Step 6: Final answer
    x = 185,156.09

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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.