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Finding the Fourth Proportional to 301,733.22, 416,390.10 and 165,764.22

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Solution

The fourth proportional to 301,733.22, 416,390.10 and 165,764.22 is: 228,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,733.22 : 416,390.10 = 165,764.22 : x
  2. Step 2: Convert to fraction form
    301,733.22/416,390.10 = 165,764.22/x
  3. Step 3: Cross multiply
    301,733.22x = 416,390.10 × 165,764.22
  4. Step 4: Simplify right side
    301,733.22x = 69,022,580,142.22
  5. Step 5: Solve for x
    x = 69,022,580,142.22/301,733.22
  6. Step 6: Final answer
    x = 228,753.67

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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.