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Finding the Fourth Proportional to 301,097.62, 451,252.71 and 123,396.58

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Solution

The fourth proportional to 301,097.62, 451,252.71 and 123,396.58 is: 184,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,097.62 : 451,252.71 = 123,396.58 : x
  2. Step 2: Convert to fraction form
    301,097.62/451,252.71 = 123,396.58/x
  3. Step 3: Cross multiply
    301,097.62x = 451,252.71 × 123,396.58
  4. Step 4: Simplify right side
    301,097.62x = 55,683,041,129.73
  5. Step 5: Solve for x
    x = 55,683,041,129.73/301,097.62
  6. Step 6: Final answer
    x = 184,933.51

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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.