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Finding the Fourth Proportional to 243,447, 365,165.64 and 110,302.44

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Solution

The fourth proportional to 243,447, 365,165.64 and 110,302.44 is: 165,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,447 : 365,165.64 = 110,302.44 : x
  2. Step 2: Convert to fraction form
    243,447/365,165.64 = 110,302.44/x
  3. Step 3: Cross multiply
    243,447x = 365,165.64 × 110,302.44
  4. Step 4: Simplify right side
    243,447x = 40,278,661,096.16
  5. Step 5: Solve for x
    x = 40,278,661,096.16/243,447
  6. Step 6: Final answer
    x = 165,451.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.