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Finding the Fourth Proportional to 301,018.02, 415,401.65 and 165,051.54

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Solution

The fourth proportional to 301,018.02, 415,401.65 and 165,051.54 is: 227,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,018.02 : 415,401.65 = 165,051.54 : x
  2. Step 2: Convert to fraction form
    301,018.02/415,401.65 = 165,051.54/x
  3. Step 3: Cross multiply
    301,018.02x = 415,401.65 × 165,051.54
  4. Step 4: Simplify right side
    301,018.02x = 68,562,681,225.78
  5. Step 5: Solve for x
    x = 68,562,681,225.78/301,018.02
  6. Step 6: Final answer
    x = 227,769.36

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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.