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Finding the Fourth Proportional to 301,174.36, 451,765.05 and 90,814.12

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Solution

The fourth proportional to 301,174.36, 451,765.05 and 90,814.12 is: 136,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,174.36 : 451,765.05 = 90,814.12 : x
  2. Step 2: Convert to fraction form
    301,174.36/451,765.05 = 90,814.12/x
  3. Step 3: Cross multiply
    301,174.36x = 451,765.05 × 90,814.12
  4. Step 4: Simplify right side
    301,174.36x = 41,026,645,462.51
  5. Step 5: Solve for x
    x = 41,026,645,462.51/301,174.36
  6. Step 6: Final answer
    x = 136,222.24

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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.