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Finding the Fourth Proportional to 301,168.64, 451,484.94 and 114,311.36

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Solution

The fourth proportional to 301,168.64, 451,484.94 and 114,311.36 is: 171,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,168.64 : 451,484.94 = 114,311.36 : x
  2. Step 2: Convert to fraction form
    301,168.64/451,484.94 = 114,311.36/x
  3. Step 3: Cross multiply
    301,168.64x = 451,484.94 × 114,311.36
  4. Step 4: Simplify right side
    301,168.64x = 51,609,857,510.92
  5. Step 5: Solve for x
    x = 51,609,857,510.92/301,168.64
  6. Step 6: Final answer
    x = 171,365.31

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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.