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Finding the Fourth Proportional to 301,110.30, 451,361.70 and 111,448.80

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Solution

The fourth proportional to 301,110.30, 451,361.70 and 111,448.80 is: 167,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,110.30 : 451,361.70 = 111,448.80 : x
  2. Step 2: Convert to fraction form
    301,110.30/451,361.70 = 111,448.80/x
  3. Step 3: Cross multiply
    301,110.30x = 451,361.70 × 111,448.80
  4. Step 4: Simplify right side
    301,110.30x = 50,303,719,830.96
  5. Step 5: Solve for x
    x = 50,303,719,830.96/301,110.30
  6. Step 6: Final answer
    x = 167,060.77

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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.