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Finding the Fourth Proportional to 243,714.19, 365,481.74 and 83,744.76

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Solution

The fourth proportional to 243,714.19, 365,481.74 and 83,744.76 is: 125,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,714.19 : 365,481.74 = 83,744.76 : x
  2. Step 2: Convert to fraction form
    243,714.19/365,481.74 = 83,744.76/x
  3. Step 3: Cross multiply
    243,714.19x = 365,481.74 × 83,744.76
  4. Step 4: Simplify right side
    243,714.19x = 30,607,178,354.55
  5. Step 5: Solve for x
    x = 30,607,178,354.55/243,714.19
  6. Step 6: Final answer
    x = 125,586.36

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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.