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Finding the Fourth Proportional to 243,012.44, 364,476.64 and 109,861.76

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Solution

The fourth proportional to 243,012.44, 364,476.64 and 109,861.76 is: 164,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,012.44 : 364,476.64 = 109,861.76 : x
  2. Step 2: Convert to fraction form
    243,012.44/364,476.64 = 109,861.76/x
  3. Step 3: Cross multiply
    243,012.44x = 364,476.64 × 109,861.76
  4. Step 4: Simplify right side
    243,012.44x = 40,042,045,149.29
  5. Step 5: Solve for x
    x = 40,042,045,149.29/243,012.44
  6. Step 6: Final answer
    x = 164,773.64

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Why These Related Problems?

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