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Finding the Fourth Proportional to 265,443, 366,311.36 and 146,211

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Solution

The fourth proportional to 265,443, 366,311.36 and 146,211 is: 201,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,443 : 366,311.36 = 146,211 : x
  2. Step 2: Convert to fraction form
    265,443/366,311.36 = 146,211/x
  3. Step 3: Cross multiply
    265,443x = 366,311.36 × 146,211
  4. Step 4: Simplify right side
    265,443x = 53,558,750,256.96
  5. Step 5: Solve for x
    x = 53,558,750,256.96/265,443
  6. Step 6: Final answer
    x = 201,771.19

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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.