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Finding the Fourth Proportional to 301,215.51, 451,536.21 and 101,433.06

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Solution

The fourth proportional to 301,215.51, 451,536.21 and 101,433.06 is: 152,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,215.51 : 451,536.21 = 101,433.06 : x
  2. Step 2: Convert to fraction form
    301,215.51/451,536.21 = 101,433.06/x
  3. Step 3: Cross multiply
    301,215.51x = 451,536.21 × 101,433.06
  4. Step 4: Simplify right side
    301,215.51x = 45,800,699,481.10
  5. Step 5: Solve for x
    x = 45,800,699,481.10/301,215.51
  6. Step 6: Final answer
    x = 152,052.93

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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.