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Finding the Fourth Proportional to 301,201.02, 415,655.71 and 165,231.48

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Solution

The fourth proportional to 301,201.02, 415,655.71 and 165,231.48 is: 228,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,201.02 : 415,655.71 = 165,231.48 : x
  2. Step 2: Convert to fraction form
    301,201.02/415,655.71 = 165,231.48/x
  3. Step 3: Cross multiply
    301,201.02x = 415,655.71 × 165,231.48
  4. Step 4: Simplify right side
    301,201.02x = 68,679,408,133.75
  5. Step 5: Solve for x
    x = 68,679,408,133.75/301,201.02
  6. Step 6: Final answer
    x = 228,018.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.