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Finding the Fourth Proportional to 243,903.85, 365,746.43 and 110,715.55

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Solution

The fourth proportional to 243,903.85, 365,746.43 and 110,715.55 is: 166,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,903.85 : 365,746.43 = 110,715.55 : x
  2. Step 2: Convert to fraction form
    243,903.85/365,746.43 = 110,715.55/x
  3. Step 3: Cross multiply
    243,903.85x = 365,746.43 × 110,715.55
  4. Step 4: Simplify right side
    243,903.85x = 40,493,816,604.41
  5. Step 5: Solve for x
    x = 40,493,816,604.41/243,903.85
  6. Step 6: Final answer
    x = 166,023.69

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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.