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Finding the Fourth Proportional to 301,191.72, 415,647.78 and 165,225.93

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Solution

The fourth proportional to 301,191.72, 415,647.78 and 165,225.93 is: 228,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,191.72 : 415,647.78 = 165,225.93 : x
  2. Step 2: Convert to fraction form
    301,191.72/415,647.78 = 165,225.93/x
  3. Step 3: Cross multiply
    301,191.72x = 415,647.78 × 165,225.93
  4. Step 4: Simplify right side
    301,191.72x = 68,675,791,002.94
  5. Step 5: Solve for x
    x = 68,675,791,002.94/301,191.72
  6. Step 6: Final answer
    x = 228,013.54

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