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Finding the Fourth Proportional to 243,902.60, 365,744.55 and 110,714.30

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Solution

The fourth proportional to 243,902.60, 365,744.55 and 110,714.30 is: 166,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,902.60 : 365,744.55 = 110,714.30 : x
  2. Step 2: Convert to fraction form
    243,902.60/365,744.55 = 110,714.30/x
  3. Step 3: Cross multiply
    243,902.60x = 365,744.55 × 110,714.30
  4. Step 4: Simplify right side
    243,902.60x = 40,493,151,832.07
  5. Step 5: Solve for x
    x = 40,493,151,832.07/243,902.60
  6. Step 6: Final answer
    x = 166,021.81

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1.5x scale

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.